Answer:
y = -4x - 6
Explanation:
slope-intercept form: y = mx + b
Given: Slope: -4
Point: (-2, 2)
To write an equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). Since we were given the value of the slope, all we have to do now is find b. To do this, input the given values of m and the point into the equation and solve for b:
y = mx + b
2 = -4(-2) + b
2 = 8 + b
-6 = b
The y-intercept is -6.
Now that we know the slope and the y-intercept, we can write the equation:
y = -4x - 6