Answer:
A. -9
Step-by-step explanation:
The equation of a line passes through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Thus, the equation of the line passes through the points (1, –6) and (4, 3) would be,
[tex]y+6=\frac{3+6}{4-1}(x-1)[/tex]
[tex]y+6=\frac{9}{3}(x-1)[/tex]
[tex]y+6=3(x-1)[/tex]
[tex]y+6=3x-3[/tex]
[tex]\implies 3x-y=9[/tex]
For y-intercept, x = 0
3(0) - y = 9
⇒ y = -9
Hence, the y-intercept of the line is -9.
Option 'A' is correct.
