Answer:
y = -2x - 5
Step-by-step explanation:
First rewrite the second equation into y = mx + b format:
x - 2y = 14
2y = x - 14
y = x/2 - 14/2 (Divide both sides by 2)
y = 1/2x - 7
A line perpendicular to another has the negative reciprocal slope
So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)
Plug in the points (-1, -3) for the x and y coordinates.
x (x coordinate) = -1
y (y coordinate) = -3
slope (m) = -2
-3 = -1(-2) + b
-3 = 2 + b
-3 - 2 = b
b = -5
The equation of the line is y = -2x - 5. Hope this helps! :)
Answer:
y = -2x - 5 or 2x + y = -5
Step-by-step explanation:
Let's find the slope of the given line.
-2y = -x + 14
y = 1/2(x) -7
m = 1/2
The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2
Now use the point-slope form of a line
y + 3 = -2(x + 1)
y + 3 = -2x - 2
y = -2x - 5 or 2x + y = -5
