Whats the slope intrecept for y+4=-2(x-1)

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

y = -2x - 2

The slope is -2 (as can be seen from the original point-slope equation) and the y-intercept is (0, -2).

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