Answer:
-41
Step-by-step explanation:
Use 2 points to find the equation of the line using the 2-point form of the equation of a line. Then we write the equation in the slope-intercept form to find the y-intercept.
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
We can use points (-36, -117) and (-27, -98), so
x1 = -36
x2 = -27
y1 = -117
y2 = -98
[tex] y - (-117) = \dfrac{-98 - (-117)}{-27 - (-36)}(x - (-36)) [/tex]
[tex] y + 117 = \dfrac{19}{9}(x + 36) [/tex]
[tex] y + 117 = \dfrac{19}{9}x + 76 [/tex]
[tex] y = \dfrac{19}{9}x - 41 [/tex]
The y-intercept is -41.
