Pre-Algebra Examples

$y - (- 7) = - 5 (x - 7)$

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 left side.

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Step 1.2.1

Multiply $- 1$ by $- 7$ .

$y + 7 = - 5 (x - 7)$

Step 1.3

Simplify the right side.

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Step 1.3.1

Simplify $- 5 (x - 7)$ .

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Step 1.3.1.1

Apply the distributive property.

$y + 7 = - 5 x - 5 \cdot - 7$

Step 1.3.1.2

Multiply $- 5$ by $- 7$ .

$y + 7 = - 5 x + 35$

Step 1.4

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

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Step 1.4.1

Subtract $7$ from both sides of the equation.

$y = - 5 x + 35 - 7$

Step 1.4.2

Subtract $7$ from $35$ .

$y = - 5 x + 28$

Step 2

Using the slope-intercept form, the y-intercept is $28$ .

$b = 28$

Step 3

y-intercept in point form.

$(0, 28)$

Step 4