Write an equation of the line satisfying the given conditions. Write the answer in standard form.
-The line has a slope of $- \frac { 6 } { 7 }$ and contains the point $( - 5 , - 8 )$.
A) $y = - \frac { 6 } { 7 } x - \frac { 86 } { 7 }$
B) $6 x + 7 y = - 86$
C) $\frac { 6 } { 7 } x + y = \frac { 83 } { 7 }$
D) $6 x + 7 y = 86$

Question

Quizplus · Accepted Answer

To find the equation of the line in standard form $Ax + By = C$ with a given slope $m = -\frac{6}{7}$ and passing through a point $(-5, -8)$, we can use the point-slope form of a line equation $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is the point the line passes through. Substituting the given values, we get $y + 8 = -\frac{6}{7}(x + 5)$. Multiplying both sides by 7 to clear the fraction and rearrange to get $6x + 7y = -86$, which matches option B.

Write an Equation of the Line Satisfying the Given Conditions −67- \frac { 6 } { 7 }−76​

Write an Equation of the Line Satisfying the Given Conditions $- \frac { 6 } { 7 }$