Question

What is the equation of a line that goes through the points 2, -2 and 0,2

Answer 1

it is vital that we first find the gradient/slope between the points .

⇒
`m=(y_(2)-y_(1) )/(x_(2) -x_(1) ) \\m=(2-(-2))/(0-2) \\m=(4)/(-2) \\m=-2`

The general equation of a straight line is given by y=mx+c I will use the points (0,2) to find the value of y since the other variables are found already.

`2=-2(0)+c\\\\c=2`

⇒This tells us that the equation of the line is y=-2x+2