Which answer choice shows the equation below in slope intercept form? 8x – 3y = –24

Mathematics · College · Mon Jan 18 2021

Answered on

Given the equation:

8x - 3y = -24

We cannot see the answer choices for the slope-intercept form, in that case we will equate the equation to slope-intercept form.

Slope-intercept form:

y = mx + b

Solution
In order to change the equation to slope intercept form, we solve for y. To do so, the first step is to transpose -3y and -24 to their opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.

8x - 3y = -24

3y = 8x + 24 

Divide both sides by 3 in order to determine the value of x.

y = 8/3x + 8

Final answer:

Slope-intercept form:y = 8/3x + 8

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