Step-by-step explanation:
Hey there!
The given points are;(-2,-2) and (2,1)
Now, using double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y + 2) = \frac{1 + 2}{2 + 2} (x + 2)[/tex]
[tex](y + 2) = \frac{3}{4}(x + 2) [/tex]
[tex]y + 2 = \frac{3}{4} x + 2 \times \frac{3}{4} [/tex]
[tex]y = \frac{3}{4} x + \frac{3}{2} - 2[/tex]
[tex]y = \frac{ 3 }{4} x - \frac{1}{2} [/tex]
Therefore, the equation is; y = 3/4x - 1/2.
Hope it helps...
