Question

Find the equation of a line that passes through the point (4,15) and is perpendicular to the equation below.

y=4x-6

a. y= -1/4x+14
b. y= 4x+11
c. y= 4x-19
d. y= -1/4x+16

Answer 1

the answer is D because to find the slope of a line that is perpendicular to another, you have to find the opposite reciprocal. so here the slope would be -1/4. now, take that slope and put it into an equation. like the following:

`y = ( - 1)/(4) x + b`
now to find b you must insert the points into the equation (plug in 4 for x, and 15 for y).

`15 = ( - 1)/(4) (4) + b`
b then equals 16. so, the answer is D.