Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (the point at which the line intersects the y-axis).
y + 4 = -2(x - 1) is in point-slope form, which is y - b = m(x - a), where m is the slope and (a, b) is a point on the line. To get this equation to slope-intercept form, isolate y.
Given:
y + 4 = -2(x - 1)
Distribute the -2:
y + 4 = -2x + 2
Subtract 4 from both sides:
y = -2x + 2 - 4
Collect like terms:
y = -2x - 2
Answer:
y = -2x - 2
The slope is -2 (as can be seen from the original point-slope equation) and the y-intercept is (0, -2).
