What is the value of m in the equation 4m + 2(m + 1) = 9m + 5? −1 1 7 17

4m +2(m+1) = 9m +5

4m +2m+2 = 9m +5

6m +2 = 9m +5

6m = 9m+3

-3m = 3

m = -1

the answer is 24

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)