Question

The equation for (-2,5) and (2,-1)

Answer 1

y =
`(-3)/(2)x` + 2

Explanation:

First, we have to calculate the slope which is;
`(y_(2)- y_(1) )/(x_(2)-x_(1) )`

Slope =
`(-1-5)/(2-(-2))` =
`(-6)/(4) = (-3)/(2)`

The slope is
`(-3)/(2)`

So now we have to calculate the y-intercept which is;
`y-y_(1)=m(x-x_(1) )`

y - (-1) =
`(-3)/(2)`(x - 2) = y + 1 =
`(-3)/(2)x` + 3

Now, subtract 1 from both sides;

y =
`(-3)/(2)x` + 2