If a = 2b + 12, then -2a =answer choices: a.) -6 - bb.) 24 - 4bc.) -2b - 24d.) 6 - b e.) -4b - 24

e.) -4b -24

Step-by-step explanation:

Substitute the expression for "a" into the expression -2a. Make use of the distributive property to eliminate parentheses.

... -2a = -2(2b +12) = -4b -24

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)