Finite Math Examples

$y - 3 = 5 (x + 4)$

Step 1

Rewrite in slope-intercept form.

Tap for more steps...

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.

Tap for more steps...

Step 1.2.1

Simplify $5 (x + 4)$ .

Tap for more steps...

Step 1.2.1.1

Apply the distributive property.

$y - 3 = 5 x + 5 \cdot 4$

Step 1.2.1.2

Multiply $5$ by $4$ .

$y - 3 = 5 x + 20$

Step 1.3

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

Tap for more steps...

Step 1.3.1

Add $3$ to both sides of the equation.

$y = 5 x + 20 + 3$

Step 1.3.2

Add $20$ and $3$ .

$y = 5 x + 23$

Step 2

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

Tap for more steps...

Step 2.1

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = 5$

$b = 23$

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: $(0, 23)$

Slope: $5$

y-intercept: $(0, 23)$

Step 3