Answer:
y = 1/9x + 3 5/9
Explanation:
The slope between the two marked points is ...
... m = (change in y)/(change in x)
... = (4 -3)/(4 -(-5))
... m = 1/9
Then the point-slope equation for the line with slope m through point (h, k) can be written as ...
... y = m(x -h) +k
... y = 1/9(x -(-5)) +3 . . . . . m = 1/9, (h, k) = (-5, 3)
... y = 1/9x + 3 5/9 . . . . . . simplify