A graph of a linear equation passes through 2 points, (2,9) and (-3,-1). Find the equation of the line in the form y=mx+c.

So first of all in finding the equation of this line, we shall find the gradient of the line which is represented by m. To find m, we use a formula and the values in the 2 coordinates. The first coordinate we shall say is (x1,y1) and the second is (x2,y2).The formula we use to find the gradient is (change in y)/(change in x). And so to find the change in y, we simply take away y2 from y1. The change in x will similarly be taking away x2 from x1. Meaning the gradient will then be equal to (y1-y2)/(x1-x2).x1=2 x2=-3 y1=9 y2=-1 Inputting these values into the formula gives us (10)/(5) which we know equals 2. Therefore the gradient equals 2 and m=2. We now have y=2x+c. To find c, we can pick either of the coordinates to input into the equation so far and return a value for c. Say we choose the first one. x=2 and y=9. So we have 9=2*2+c, which goes to 9=4+c. Rearranging to give us c=5.Giving us the answer and equation of the linear graph as y=2x+5