Answer:
2x + 4y = 16.
Step-by-step explanation:
14x - 7y = 8
Convert to slope-intercept form:
-7y = -14x + 8
y = 2x - 8/7
The slope is 2 so the line perpendicular to it has a slope of -1/2, so we have:
y = 1/2x + c
This line passes through the point (-2, 5) so:
5 = -1/2* (-2) + c
5 = 1 + c
c = 5 - 1 = 4
So our equation is y = -1/2x + 4.
Convert to standard from
4y = -2x + 16
2x + 4y = 16.