Answer:
y = 4x + 17
Explanation:
So the general form of the equation is y=mx + b, where m is the slope and b is the y intercept.
The problem gave you the slope = 4.
Substitute that into the general equation:
y= 4x + b
Now let's substitute that point (-6, -7) into the equation and we can solve for b, the intercept.
-7 = 4(-6) + b
-7 = -24 + b
-7+24 = b
17 = b
We know the intercept now, so substitute it back into the equation.
y = 4x + 17
You can double check that it's correct with your provided point.
y = 4*-6 + 17
y = -24 + 17
y = -7 ====>>>> and that's exactly the y that we were given in the problem so you know that this equation is correct.