Find the Parallel Line (-7,-2) which is parallel to the line y=2x-3

$(- 7, - 2)$ which is parallel to the line $y = 2 x - 3$

Use the slope-intercept form to find the slope.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Using the slope-intercept form, the slope is $2$ .

$m = 2$

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

Use the slope $2$ and a given point $(- 7, - 2)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (- 2) = 2 \cdot (x - (- 7))$

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

$y + 2 = 2 \cdot (x + 7)$

Solve for $y$ .

Simplify $2 \cdot (x + 7)$ .

Rewrite.

$y + 2 = 0 + 0 + 2 \cdot (x + 7)$

Simplify by adding zeros.

$y + 2 = 2 \cdot (x + 7)$

Apply the distributive property.

$y + 2 = 2 x + 2 \cdot 7$

Multiply $2$ by $7$ .

$y + 2 = 2 x + 14$

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

Subtract $2$ from both sides of the equation.

$y = 2 x + 14 - 2$

Subtract $2$ from $14$ .

$y = 2 x + 12$

Find the Parallel Line (-7,-2) which is parallel to the line y=2x-3

Related Questions

Support LCMGCF.com by disabling your adblocker.