Answer:
y = 2x - 16
Explanation:
Slope-intercept form: y = mx + b
Given:
Slope(m): 2
Point: (5, -6)
To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).
Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:
y = mx + b
-6 = 2(5) + b
-6 = 10 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = 2x - 16