What is the difference between a straight line and a curve graph?
Can one graph consist of a straight line graph and a curve graph?
If yes, can they ever intersect?
How can one determine by calculation if these two graphs intersect?
Subscribe to:
Post Comments (Atom)
43 comments:
A staight line has a constant gradient meaning that the change in points is constant. However a curved graph doesn't have a constant gradient and the points are always changing. Howev er I must add that although they differ, they both have equations.
Once lines have equations they will intersect unless they are parallel. As with two straight lines the simultaneous equations method can be used.
A straight line is the result of two points been connected in such a way to create a line with a constant gradient and the power of the independent varible is 1.A curve is a series of connected points that forms a line with a changing gradient where the power of the independent varible may be less than or greater than one but not equal to one.
space_alien
i think u are using to many complicated words. what is meant by the power of the independent variable?
Talk layman terms
as yoshi said a straight line does have a same gradient at every point on the line but with the curve you will have millions of gradients along the curve
This is what i understand by what miss thought
one graph can consist of both line and a curve
yes the they can intersect but
Yes a graph can consist of a straight line and a curve.
Yes they can intersect but only if they are drawn separately on the same graph.
To marz the independent variable is the variable that will not experience any change when a change occurs in the other variable.
you can determine if two graph intersect by solving them at the same time or as we say simultaneously.
a straight line consist of a constant gradient through out the whole line while a curve consist of many gradients
To space alien:
how does one determine which variable is the independent variable in a worded question for which a graph must be drawn?
To Yoshi
i don't think you should say that: "Once lines have equations they will intersect unless they are parallel". that will be inappropriate because you can have an equation that lets u plot a line under the positive section of the x-axis and one that lets u plot a line over the negative section of the x-axis! anybody correct me if am wrong!
To Space_alien
you say "Yes they can intersect but only if they are drawn separately on the same graph". if something is separated, doesn't it mean that it doesn't touch? for instance, if u have 2 rulers on a table and you put a ruler horizontally on one end and the other vertically on the other end it does not meet(intersect). Same for the graph paper. if u have 2 line on a graph paper but separated it will not intersect.
i agree with marz, space_alien please talk in more layman terms.
to me a line has the same gradient at any given point on the line, the change in y over change in x will always give that gradient throughout the entire line.ONLY BECAUSE IT IS STRAIGHT. but with a curve those variables are constantly changing, this is why it can't have the same gradient throughout the entire curve.
with respect to that, the only way i could see any curve can have a constant gradient would be in a U shaped curve. at certain points, where the lines are parallel.
i agree wit yoshi's comment of how a straight line has a constant gradient but a curve has many gradients but their equations are also different, the equation of a curve cud b in the form of a quadratic for example 3x(squared)+2x=12 and a straight line is y=mx+c.
a graph can consist of both a curve & a straight line but they can intersect more dan once depending on the equation.
i agree with yoshi.
a straight line has a constant gradient but a curve has many gradients.
one graph can consist of a stright line graph and a curve graph. it will be like a tangent to a curve.
space_alien
yes they can intersect. The tangent to the curve is the straight line and its gradient at any point is equal to the gradient of the curve.
I agree with yoshi
Notice in reference to your 1st comment even though the line is in the -ve or +ve quadrant they can still intersect. And what i'd like to say is that you all must consider the fact that to line can exsist on a graph even though they are not parallel because it all depends on how long the lines actually are i think thats wat you were trying to say notice.
yes i agree with yoshi that a line has a conctant gradient and that a cure has a different gradient for each point on the curve. also a cure and a line can be on the same ggraph page the line can give u a basic idea of where the the curve cuts the line
Hey poeple we agree that a straight line and a curve can exsist on a graph!!! But wat you all think about for eg. Hooke's Law theres a straight line and at the end when you pass the elastic limit it starts to curve would you consider that a straight line and a curve on the same graph???
if a line has a constant then varying gradient then it should be possible to have both a curve and a straight line on a graph.Such as the example psychotic gave with Hooke's Law. I am not sure of this. Any ideas?
hey thats a good question
psycothic
think someone cud answer it for us coz i alos dont know
psycothic
i think when the line starts to bend then it is considered a curve...in hookes law if the elastic limit isnt reached then the graph remains a straight line....
and well to ans hellion i think the line produced in the hookes experiment would be considered a curve IF it reaches the elastic limit and starts to bend
and to ans miss an the same graph meaning graph page it can have a line and curve when you are comparing...etc...plz comment!
yes they can intersect...after all they are on the same page....and to calculate..i think you have to use diffenciation...i don't kno
A curve is a set of points connected together, that has different gradients at different points. A curve can eithe be a maximum or a min....
hello... testin
The difernce between a line and a curve is that on a line you can find the exact gradiant of it since it would be easy and acurate to locate the exact point on the line, however in a curve it is impossible to find the exact gradiant of the curve since the gradiant of a changes at every point making it very difficult to get the exact value so what we do is use limits. We uses limts very close to that value to carry out our calculations.
in a straight line there is a constant gradient where as in a slope the gradient is always changing. or btw a curve and a graph can exist on the same gaph...can,t it?
i agree that in a curve graph the gradent is not constant, that is they defer at each point. however all lines that is represented on a graph has an equation, i do not agree with yoshi because two lines that is // cannot be solved by a simontaneous equation, only lines that intersect can!
a straight line has a constant gradient but a curve's never constant at any point so therefore the gradient will never be the same
i don't not about one graph consisting of a straight line and a curve graph.
but i think that though simontaneous equation the intersected graphs would be ontained
one difference betweena a straight and a curve line is the equation the of both lines and so the method used for finding the gradient is different. The gradient of a straight line can found at any two points on that line since it is the same through out whilst on a curve the gradient changes at each different point
A graph is a diagramatic representation of a change, weather in state, speed, whatever. and as we all know a change is not always constant.
There is/are situations in which a graph consists of a straight line graph and a curve (on the samegraph). For example the graph which demonstrates hook's law. after the elastic limit is exeeded on that graph it begins to curve. Comments?
Straight line graph can indeed intersect with a curved graph. The point at which they intersect would be the point at which the the gradients of the graphs happen to be the same at that instant. This may also indicate that there is some relationship between the two equations being represented by the graphs.
the difference between a straight line and a curve graph is dat a straight line has a constant gradiant throughout while a curve gragh has different gradiants throughout
the point at which a straight line and a curve intersect can be calculated by solving both equations simultaneously
if the equations of the two graphs are able to be solved simultaneously then at the values of x and y is the point of intersection
in a curved graph the gradient is never constant. to find the points of intersection between a curved and straight line in a graph, you solve them by working it out simultaneously and finding the values for x1, x2, y1, y2.
the difference is that a line has a constant slope where the rate of change is the same throughout but on a curve the at no two points the gradient is the same for there is a change at every different point
yes i agree with yoshi that the difference is that the gradient of the straight line is constant throughout whereas in a curve there are many gradients and the gradient is different at each point. i also think that in a straight line graph there is proportionality and the graph is linear and in curve graphs could be quadratic.
Post a Comment