Given the equation:
y = -¼x - 1
And it passes through the point (3, 7)
Using the slope intercept form: y = mx + b
where m is the slope.
The slope of a perpendicular line is the inverse
The slope here is: 4 which is the inverse of -¼
Thus, we have:
(x, y) ==>(3, 7)
Substitute x for 3
Substitute y for 7
7 = 4(3) + b
7 = 12 + b
Let's solve for b:
7 - 12 = b
-5 = b
Therefore, the equation is:
y = 4x - 5