Question㸚, Rewrite the following equation in slope-intercept form. $15 y-18=3 x$
㸚、 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Studdy Solution

STEP 1

1. The given equation is in a linear form and can be rewritten in slope-intercept form.
2. Slope-intercept form is defined as $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

1. Isolate the $y$ -term on one side of the equation.
2. Simplify the equation to express it in the form $y = mx + b$ .

STEP 3

Start with the given equation:
$15y - 18 = 3x$
Add 18 to both sides to isolate the $y$ -term:
$15y = 3x + 18$

STEP 4

Divide every term by 15 to solve for $y$ :
$y = \frac{3x}{15} + \frac{18}{15}$
Simplify the fractions:
$y = \frac{1}{5}x + \frac{6}{5}$
Now, the equation is in slope-intercept form $y = mx + b$ , where $m = \frac{1}{5}$ and $b = \frac{6}{5}$ .
The rewritten equation in slope-intercept form is:
$y = \frac{1}{5}x + \frac{6}{5}$

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