Finite Math Examples

$y - (- 1) = - 5 (x - 3)$

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 left side.

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Step 1.2.1

Multiply $- 1$ by $- 1$ .

$y + 1 = - 5 (x - 3)$

Step 1.3

Simplify the right side.

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Step 1.3.1

Simplify $- 5 (x - 3)$ .

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Step 1.3.1.1

Apply the distributive property.

$y + 1 = - 5 x - 5 \cdot - 3$

Step 1.3.1.2

Multiply $- 5$ by $- 3$ .

$y + 1 = - 5 x + 15$

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 $1$ from both sides of the equation.

$y = - 5 x + 15 - 1$

Step 1.4.2

Subtract $1$ from $15$ .

$y = - 5 x + 14$

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 $y = m x + b$ .

$m = - 5$

$b = 14$

Step 2.2

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

Slope: $- 5$

y-intercept: $(0, 14)$

Slope: $- 5$

y-intercept: $(0, 14)$

Step 3