Question

Complete the process for converting 4x+3y=9 to slope-intercept form below.

(20 pts: 2 pts per dropdown and ? to replace)

Your work
Replace the ? with your answers!
Your Process
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What did you do to get the math to the left of the dropdown?
4x+3y=9
Given
3y = ? + 9
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y = ??+9?
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y = ??x + ?
Click here! Help

Answer 1

The equation in slope-intercept form becomes y = -4/3x + 3.

Step-by-step explanation:

To convert the equation 4x+3y=9 to slope-intercept form, we need to isolate the y variable on one side of the equation.

Here are the steps:

Step 1:

Subtract 4x from both sides of the equation:

4x + 3y - 4x = 9 - 4x

3y = -4x + 9

Step 2:

Divide both sides of the equation by 3 to isolate y:

3y/3 = (-4x + 9)/3

y = -4/3x + 3

Therefore, the equation 4x+3y=9 in slope-intercept form is y = -4/3x + 3.