Find an equation of the line with the given slope that passes through the given point. Write the equation in the form
Ax + By = C.
-$\mathrm { m } = - \frac { 1 } { 3 } ; ( - 2,0 )$
A) $x + 3 y = - 2$
B) $x + 3 y = - 6$
C) $x - 2 y = 3$
D) $x + 3 y = 2$

Question

Quizplus · Accepted Answer

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given $m = -\frac{1}{3}$ and the point $(-2, 0)$, we substitute these values into the slope-intercept form to find $b$. $0 = -\frac{1}{3}(-2) + b$, solving for $b$ gives $b = -\frac{2}{3}$. Converting to standard form $Ax + By = C$ and multiplying by 3 to clear the fraction, we get $x + 3y = -2$.

Find an Equation of the Line with the Given Slope m=−13;(−2,0)\mathrm { m } = - \frac { 1 } { 3 } ; ( - 2,0 )m=−31​;(−2,0)

Find an Equation of the Line with the Given Slope $\mathrm { m } = - \frac { 1 } { 3 } ; ( - 2,0 )$