Answer:
[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]
Step-by-step explanation:
First, find the slope:
m = (change in y) / (change in x) = rise / run
m = (2 - (-1)) / (2 - (-3)) = (2 + 1) / (2 + 3) = 3/5
Then, write the equation of the line in point-slope form:
y - b = m(x - a) where (a, b) is a point on the line
y - 2 = (3/5)(x - 2)
Finally, solve for y:
[tex]y = \dfrac{3}{5}(x - 2) + 2[/tex]
[tex]y = \dfrac{3}{5}x - \dfrac{6}{5} + 2[/tex]
[tex]y = \dfrac{3}{5}x + \dfrac{4}{5}[/tex]
