Use properties of equality and numbers to solve each equation for x. a. 9 + 4x = 6x + 17
b. 4x - 9 = 6x + 17
c. 9- 4x = 6x +17
d. 4x + 9 = 6x - 17

Step-by-step explanation:

a. 9 + 4x = 6x + 17

4x - 6x = 17 - 9

-2x = 8

x = -4

b. 4x - 9 = 6x + 17

4x - 6x = 17 + 9

-2x = 26

x = -13

c. 9 - 4x = 6x + 17

9 - 17 = 6x + 4x

-8 = 10x

x = -8/10

d. 4x + 9 = 6x - 17

4x - 6x = -17 - 9

-2x = -26

x = 13

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)