Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 27, 2023

Convert the linear equation $7x + 8y = 16$ to slope-intercept form $y = -\frac{7}{8}x + 2$ .

STEP 1

Assumptions1. The given equation is in standard form $Ax + By = C$ . We need to convert this equation into slope-intercept form $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

To convert the equation into slope-intercept form, we need to isolate $y$ . This can be done by subtracting $7x$ from both sides of the equation.
$8y = -7x +16$

STEP 3

Now, we need to get $y$ by itself. This can be done by dividing every term by $8$ .
$y = -\frac{7}{8}x + \frac{16}{8}$

STEP 4

implify the equation to get the final form.
$y = -\frac{7}{8}x +2$ So, the equation in slope-intercept form is $y = -\frac{7}{8}x +2$ .

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