Statistics Examples

$y = 9 x - 6$ , $(1, 13)$

Step 1

Use the slope-intercept form to find the slope.

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

Using the slope-intercept form, the slope is $9$ .

$m = 9$

Step 2

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Step 3

Use the slope $9$ and a given point $(1, 13)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (13) = 9 \cdot (x - (1))$

Step 4

Simplify the equation and keep it in point-slope form.

$y - 13 = 9 \cdot (x - 1)$

Step 5

Solve for $y$ .

Tap for more steps...

Step 5.1

Simplify $9 \cdot (x - 1)$ .

Tap for more steps...

Step 5.1.1

Rewrite.

$y - 13 = 0 + 0 + 9 \cdot (x - 1)$

Step 5.1.2

Simplify by adding zeros.

$y - 13 = 9 \cdot (x - 1)$

Step 5.1.3

Apply the distributive property.

$y - 13 = 9 x + 9 \cdot - 1$

Step 5.1.4

Multiply $9$ by $- 1$ .

$y - 13 = 9 x - 9$

Step 5.2

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

Tap for more steps...

Step 5.2.1

Add $13$ to both sides of the equation.

$y = 9 x - 9 + 13$

Step 5.2.2

Add $- 9$ and $13$ .

$y = 9 x + 4$

Step 6

Enter YOUR Problem