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# How to find points on a line from an equation

The equation of a straight line can be found by substituting the values of the gradient,m,intoy=mx+c. The value ofccan then be found by substituting thex- and y-values of a given point intoy=mx+c. If one of the points given is they-intercept then it is simply a matter of lettingc =y-intercept.

How to Find Equation of a Line? (i) Let \((x,y)\) be any point on the straight line. (ii) Understand the geometrical condition governing the movement of this point \((x,y)\) on the line. (iii) Express this condition in mathematical form in terms of \(x,y\) and known constant (or constants), if necessary. Use the slope and either of the two points to find the y-intercept. Write the equation in slope -intercept form. &&66 02'(/,1* Greg is driving a remote control car at a constant speed. He starts the timer when the car is 5 feet away. After 2 seconds the car is 35 feet away. You can find the y intercept(b) of a line by using "point slope" with a pair of cordinates. -Find the slope (y2 - y1) / (x2 - x1) -Use one of the coordinates (points) and use this formula: y-y1=m(x-x1) -Then you end up with y=mx+b.

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