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Put the following equation of a line into slope-intercept form, simplifying all fractions. 4, y, minus, 4, x, equals, minus, 36 4y−4x= −36

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Final answer:

To put the equation 4y - 4x = -36 into slope-intercept form, you need to solve for y. The simplified equation in slope-intercept form is y = x - 9.

Step-by-step explanation:

To put the equation 4y - 4x = -36 into slope-intercept form, you need to solve for y. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Add 4x to both sides of the equation to isolate the y term. This gives you 4y = 4x - 36.

Step 2: Divide both sides of the equation by 4 to solve for y. This simplifies the equation to y = x - 9. The slope is 1 and the y-intercept is -9.

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