Algebra Examples

$y = \frac{3}{5} x - 3$

Step 1

Rewrite in slope-intercept form.

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Step 1.1

The slope-intercept form is

$y = m x + b$ , where

$m$ is the slope and

$b$ is the y-intercept.

$y = m x + b$

Step 1.2

Simplify the right side.

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Step 1.2.1

Combine

$\frac{3}{5}$ and

$x$ .

$y = \frac{3 x}{5} - 3$

Step 1.3

Reorder terms.

$y = \frac{3}{5} x - 3$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

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Step 2.1

Find the values of

$m$ and

$b$ using the form

$y = m x + b$ .

$m = \frac{3}{5}$

$b = - 3$

Step 2.2

The slope of the line is the value of

$m$ , and the y-intercept is the value of

$b$ .

Slope:

$\frac{3}{5}$

y-intercept:

$(0, - 3)$

Slope:

$\frac{3}{5}$

y-intercept:

$(0, - 3)$

Step 3

$y = \frac{3}{5} x - 3$

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