Write in Slope-Intercept Form (-4,-7) and (-6,9)

$(- 4, - 7)$ and $(- 6, 9)$

Find the slope of the line between $(- 4, - 7)$ and $(- 6, 9)$ using $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ , which is the change of $y$ over the change of $x$ .

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x}$

The change in $x$ is equal to the difference in x-coordinates (also called run), and the change in $y$ is equal to the difference in y-coordinates (also called rise).

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{9 - (- 7)}{- 6 - (- 4)}$

Simplify.

Simplify the numerator.

Multiply $- 1$ by $- 7$ .

$m = \frac{9 + 7}{- 6 - (- 4)}$

Add $9$ and $7$ .

$m = \frac{16}{- 6 - (- 4)}$

Simplify the denominator.

Multiply $- 1$ by $- 4$ .

$m = \frac{16}{- 6 + 4}$

Add $- 6$ and $4$ .

$m = \frac{16}{- 2}$

Divide $16$ by $- 2$ .

$m = - 8$

Use the slope $- 8$ and a given point $(- 4, - 7)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (- 7) = - 8 \cdot (x - (- 4))$

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

$y + 7 = - 8 \cdot (x + 4)$

Solve for $y$ .

Simplify $- 8 \cdot (x + 4)$ .

Rewrite.

$y + 7 = 0 + 0 - 8 \cdot (x + 4)$

Simplify by adding zeros.

$y + 7 = - 8 \cdot (x + 4)$

Apply the distributive property.

$y + 7 = - 8 x - 8 \cdot 4$

Multiply $- 8$ by $4$ .

$y + 7 = - 8 x - 32$

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

Subtract $7$ from both sides of the equation.

$y = - 8 x - 32 - 7$

Subtract $7$ from $- 32$ .

$y = - 8 x - 39$

Write in Slope-Intercept Form (-4,-7) and (-6,9)

Related Questions

Support LCMGCF.com by disabling your adblocker.