Answer:
Step-by-step explanation:
We first need to find the slope of the given line. Putting that standard form of a line into slope intercept:
12y = -3x - 6 so
[tex]y=-\frac{1}{4}x-\frac{1}{2}[/tex]
In this form we can easily determine that our slope is -1/4. That means that the perpendicular slope, the opposite reciprocal, is +4. We will write first the point slope of the new line using our given point, then solve it for y, putting it into slope-intercept form. y - (-7) = 4(x - (-1)) and
y + 7 = 4x + 4 so
y = 4x + 4 - 7 so
y = 4x - 3
