Question

A line passes through the points (1, –6) and (4, 3). A coordinate plane. What is the y-intercept of this line? –9 –3 3 9

Answer 1

Answer:

- 9

Step-by-step explanation:

y - $y_{1}$ = m(x - $x_{1}$)

y = mx + b, where "m" is slope, "b" is y-intercept.

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

~~~~~~~~~~~~~

(4, 3), (1, - 6)

m =  $\frac{-6-3}{1-4}$ = 3

y - 3 = 3(x - 4)

y - 3 = 3x - 12

y = 3x - 9 ⇒ - 9 is the y-intercept.