Question

1. what is the y-intercept of a line that passes through the points (-10, 1) and (4, -6)?

a. -9
b. -4
c. 0.5
d. 3.5

Explanation:

Step1: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 - 1}{4 - (-10)} = \frac{-7}{14} = -0.5$

Step2: Use point-slope form to find equation

Using point $(-10,1)$: $y - 1 = -0.5(x + 10)$
Simplify: $y = -0.5x - 5 + 1 = -0.5x - 4$

Step3: Identify y-intercept

The y-intercept is the constant term: $-4$

Answer:

B. -4