Answer:
y = 7x/8 - 53/8
Step-by-step explanation:
P(3,-4)
x = -7y/8 + 3
Isolate y and translate to slope-intercept form:
y = mx + b
x = -7y/8 + 3
x - 3 = -7y/8
8x - 24 = -7y
y = -8x/7 - 24/7
The slope of the equation is -8/7
The slope of the new equation will be perpendicular to the slope of the given equation which means it is the negative reciprocal.
y = mx + b where m = -1/(-8/7) = 7/8
y = 7x/8 + b
Plug in know values and solve for b:
-4 = 7(3)/8 + b = 21/8 + b
-4 - 21/8 = b
b = -32/8 -21/8 = -53/8
Plug in b into the equation:
y = 7x/8 - 53/8
