Question

standard form: 10X - 7y = -8
slope-intercept form: ___________________

Answer 1

Answer:

$y=\frac{10}{7}x+\frac{8}{7}$

Step-by-step explanation:

Slope-intercept formula:

$y=mx+b$

Isolate $y$ on one side:

$10x - 7y = -8$

$\frac{10x}{7} -\frac{7y}{7} =\frac{-8}{7}$               divide everything by 7 since 7 is the number next to $y$

$\frac{10x}{7} -y =\frac{-8}{7}$

We can't simplify it any further, so let us rearrange it.

$y=\frac{10x}{7}-\frac{-8}{7}$                According to the formula, $y=mx+b$, the y is first

$y=\frac{10}{7}x+\frac{8}{7}$

Therefore, $y=\frac{10}{7}x+\frac{8}{7}$ is the slope-intercept form.