Slope-intercept form is y=ax+b.
y-6=-4(x+2)
Simplify
y-6=-4x-8
+6 both sides
y=-4x-2
The answer is y=-4x-2.
The slope-intercept form: y = mx + b
y - 6 = -4(x + 2) use distributive property
y - 6 = (-4)(x) + (-4)(2)
y - 6 = -4x - 8 add 6 to both sides
m = -4 - slope
b = -2 - y-intercept
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