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

Sagot :

ThePerfectionOne01

Answer:

[tex]y=\frac{10}{7}x+\frac{8}{7}[/tex]

Step-by-step explanation:

Slope-intercept formula:

[tex]y=mx+b[/tex]

Isolate [tex]y[/tex] on one side:

[tex]10x - 7y = -8[/tex]

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

[tex]\frac{10x}{7} -y =\frac{-8}{7}[/tex]

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

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

[tex]y=\frac{10}{7}x+\frac{8}{7}[/tex]

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

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