Question

if the slope of a line is -2 and it passes through the point (0, 4), what is the equation of the line?
a. $y = 2x + 4$
b. $y = -2x + 4$
c. $y = -2x - 4$
d. $y = 2x - 4$

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form is $y = mx + b$, where $m$ is slope and $b$ is y-intercept.

Step2: Substitute given values

Slope $m = -2$, y-intercept $b = 4$ (since the line passes through (0,4)). So $y = -2x + 4$.

Answer:

b. $y = -2x + 4$