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Place the given standard form into a slope-intercept form: \(5x − 3y = 8\)

What is a slope of line?

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Question:

What is a slope of line?

A
\(\frac{\mathrm{5} }{\mathrm{3}}\)

explanation

First, solve the equation \(5x − 3y = 8\) for y:

Subtract 5x from both sides.

\(5x − 3y - 5x = 8 - 5x\)

\(-3y =8 - 5x\)

\(y=\frac{\mathrm{5} }{\mathrm{3}}x-\frac{\mathrm{8} }{\mathrm{3}}\)

When the equation is in standard form (y = mx + b), the coefficient of \(x\) is the slope m.

So, a slope of line (m)= \(\frac{\mathrm{5} }{\mathrm{3}}\)

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