Question

Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.

y=2x;(9,-4)
The equation is y=

Answer 1

y = -1/2x + 1/2

Explanation:

perpendicular lines have slopes that are opposite signs and reciprocal

therefore, use m=-1/2 and point (9, -4) to complete the equation by finding 'b' (the y-intercept)

-4 = -1/2(9) + b

-4 = -9/2 + b

-4 + 9/2 = b

-4 + 4
`(1)/(2)` = b

b =
`(1)/(2)`