What is the x-intercept of the linear equation y = 4x – 4

(1,0)

Step-by-step explanation: What is the x-intercept of the linear equation y = 4x – 4?

y = 4x - 4

x-intercept ⇒ y = 0

which means that we need to substitute the y by 0.

0 = 4x-4

4x = 4

x = 1

As it is a linear equation, 1st degree, there is only one point.

This way, the linear y = 4x - 4 intercept x on point (1,0)

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)

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