Answer:
y = -3x - 7
Explanation:
To find the slope of this perpendicular line, you'll have to keep in mind that a perpendicular line will have an opposite reciprocal of the slope of the line you are given. Here's what I mean:
Given Line: y = 1/3x - 3
Slope of Perpendicular Line: m = -3/1 = -3
Now, you'll have to find the y-intercept. But, to make sure your line passes through the given points, (-1, -4), you'll have to plug in the x and y values:
y = mx + b
-4 = (-3) (-1) + b
-4 = 3 + b
b = -7
Now just plug in your y-intercept and slope into the slope-intercept formula:
y = -3x - 7