Question

Consider the equation

8x - 2y = 24

Determine if each statement is True or False.

A. The x-intercept is 3.

B. The y-intercept is 12.

C. It is equivalent to y=4x-12.

Answer 1

a) true

b) false

c) true

Explanation:

let's determine the first statement

to determine x-intercept

substitute y=0

so,

8x-2y=24

8x-2.0=24

8x=24

x=3

therefore

the first statement is true

let's determine the second statement

to determine y-intercept

substitute x=0

so,

8x-2y=24

8.0-2y=24

-2y=24

y=-12

therefore

the second statement is False

to determine the third statements

we need to turn the given equation into this form

y=mx+b

let's solve:

8x-2y=24

-2y=-8x+24

y=4x-12

therefore,

the third statement is also true