Question

Find the equation of the line that passes through points A and B.

A (2,5)
B (-1,-1)

Answer 1

⇒The first step is to find the slope/gradient between the points using the given formula below:

`m=(y_(2) -y_(1) )/(x_(2)-x_(1) )\\ m=(-1-5)/(-1-2) \\m=(-6)/(-3) \\m=2`

⇒Now that I have found the gradient keep in mind that the general equation of finding the equation of a straight line is y=mx+c

⇒To find the value of c I will use the point A Keep in mind you can use any point of your choice you will still finds the correct value of the same as any way

`5=2(2)+c\\5=4+c\\5-4=c\\c=1`

⇒This just simply means that the equation of the line of the points A and B is:

`y=2x+1`

GOODLUCK!!