Answer:
y = 1/3x -8
Step-by-step explanation:
3x+y=−5
First we need to get the equation in slope intercept form to find the slope
Subtract 3x from each side
3x-3x+y=-3x−5
y = -3x-5
The slope is -3
We want a line perpendicular. Perpendicualr lines have slopes that are the negative reciprocal. Take the negative reciprocal
m new = - (1/-3) = 1/3
The slope of the new line is 1/3
We have the slope (1/3) and a point (3,-7)
We can use the point slope form for the equation of a line
y-y1 = m(x-x1)
y--7 = 1/3 (x-3)
y+7 = 1/3 (x-3)
or if we want the slope intercept form
Distribute
y+7 = 1/3x -1
Subtract 7 from each side
y+7-7 = 1/3x -1-7
y = 1/3x -8
