Question

A line passes through the points (1, –6) and (4, 3).

Answer 1

-9 I believe that's the answr

Answer 2

Answer:

A. -9

Step-by-step explanation:

The equation of a line passes through the points $(x_1, y_1)$ and $(x_2, y_2)$ is,

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Thus, the equation of the line passes through the points (1, –6) and (4, 3) would be,

$y+6=\frac{3+6}{4-1}(x-1)$

$y+6=\frac{9}{3}(x-1)$

$y+6=3(x-1)$

$y+6=3x-3$

$\implies 3x-y=9$

For y-intercept, x = 0

3(0) - y = 9

⇒ y = -9

Hence, the y-intercept of the line is -9.

Option 'A' is correct.