Find the Equation Using Point-Slope Formula m=-1/8 , (-3,0)

$m = - \frac{1}{8}$ , $(- 3, 0)$

Use the slope $- \frac{1}{8}$ and a given point $(- 3, 0)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (0) = - \frac{1}{8} \cdot (x - (- 3))$

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

$y + 0 = - \frac{1}{8} \cdot (x + 3)$

Solve for $y$ .

Add $y$ and $0$ .

$y = - \frac{1}{8} \cdot (x + 3)$

Simplify $- \frac{1}{8} \cdot (x + 3)$ .

Apply the distributive property.

$y = - \frac{1}{8} x - \frac{1}{8} \cdot 3$

Combine $x$ and $\frac{1}{8}$ .

$y = - \frac{x}{8} - \frac{1}{8} \cdot 3$

Multiply $- \frac{1}{8} \cdot 3$ .

Multiply $3$ by $- 1$ .

$y = - \frac{x}{8} - 3 (\frac{1}{8})$

Combine $- 3$ and $\frac{1}{8}$ .

$y = - \frac{x}{8} + \frac{- 3}{8}$

Move the negative in front of the fraction.

$y = - \frac{x}{8} - \frac{3}{8}$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{1}{8} x) - \frac{3}{8}$

Remove parentheses.

$y = - \frac{1}{8} x - \frac{3}{8}$

List the equation in different forms.

Slope-intercept form:

$y = - \frac{1}{8} x - \frac{3}{8}$

Point-slope form:

$y + 0 = - \frac{1}{8} \cdot (x + 3)$

Find the Equation Using Point-Slope Formula m=-1/8 , (-3,0)

Related Questions

Support LCMGCF.com by disabling your adblocker.