Pre-Algebra Examples

$y = 7 (x - 4) + x$

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

Simplify $7 (x - 4) + x$ .

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Step 1.2.1.1

Simplify each term.

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Step 1.2.1.1.1

Apply the distributive property.

$y = 7 x + 7 \cdot - 4 + x$

Step 1.2.1.1.2

Multiply $7$ by $- 4$ .

$y = 7 x - 28 + x$

Step 1.2.1.2

Add $7 x$ and $x$ .

$y = 8 x - 28$

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 $y = m x + b$ .

$m = 8$

$b = - 28$

Step 2.2

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

Slope: $8$

y-intercept: $(0, - 28)$

Slope: $8$

y-intercept: $(0, - 28)$

Step 3