Question

Put the following equation of a line into slope-intercept form,simplifying all fractions 3x+3y=24

Answer 1

A linear equation in slope intercept form is: $y = mx+ c$.

The slope intercept form of $3x + 3y = 24$ is $y = -x + 8$

Given

$3x + 3y = 24$

Subtract 3x from both sides

$3x - 3x + 3y = -3x + 24$

$3y = -3x + 24$

Divide both sides by 3

$\frac{3y}3 = \frac{-3x}3 + \frac{24}3$

$y = -x + 8$

By comparing $y = -x + 8$ and $y =mx + c$;

We can conclude that: $y = -x + 8$ is the slope intercept form of $3x + 3y = 24$

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