Final answer:
The equation of the line passing through the point (-8, 4) with a slope of -2 is y = -2x - 12. This is the slope-intercept form of the line, where -2 is the slope and -12 is the y-intercept.
Step-by-step explanation:
To write the equation of the line that passes through the point (-8, 4) with a slope of -2, you can use the point-slope form of a line's equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
For this line:
Substituting these values into the equation, we get:
y - 4 = -2(x - (-8))
Simplify the equation by distributing the slope and moving the y-intercept to the other side:
y - 4 = -2x - 16
Add 4 to both sides to get the slope-intercept form, which is y = mx + b:
y = -2x - 12
This is the equation of the line in slope-intercept form where the y-intercept is -12.