Finite Math Examples

$y - 3 = \frac{1}{4} x - 5$

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 $\frac{1}{4}$ and $x$ .

$y - 3 = \frac{x}{4} - 5$

Step 1.3

Move all terms not containing $y$ to the right side of the equation.

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Step 1.3.1

Add $3$ to both sides of the equation.

$y = \frac{x}{4} - 5 + 3$

Step 1.3.2

Add $- 5$ and $3$ .

$y = \frac{x}{4} - 2$

Step 1.4

Reorder terms.

$y = \frac{1}{4} x - 2$

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 $y = m x + b$ .

$m = \frac{1}{4}$

$b = - 2$

Step 2.2

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $\frac{1}{4}$

y-intercept: $(0, - 2)$

Slope: $\frac{1}{4}$

y-intercept: $(0, - 2)$

Step 3