Question

Find an equation of the line perpendicular to the graph of 14x - 7y = 8 that passing through the point at (-2, 5)

Answer 1

14x - 7y = 8
-7y = -14x + 8
y = 2x - 8/7....so ur slope here is 2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So we have 2 or 2/1....we flip it making it 1/2....we change the sign making it -1/2. So our perpendicular line will have a slope of -1/2.

y = mx + b
slope(m) = -1/2
(-2,5)...x = -2 and y = 5
now we sub into the formula and find b, the y int
5 = -1/2(-2) + b
5 = 1 + b
5 - 1 = b
4 = b
so the perpendicular line is : y = -1/2x + 4 <==