On a map, Peach Street is modeled by the equation 4x−y=7. Apple Street is perpendicular to Peach Street and passes through the point (12, 2). Find the equation that models Apple Street

Answer 1

4x-y = 7

4x-y-7 = 0

4x-7 = y

the slope of the given line is 4

the slope of the perpendicular line MUST be -1/4

B = y - mx

= 2 - (-1/4)(12)

= 2 + 12/4

= 2 +3

= 5

y = (-1/4)x+5