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.
-$\mathrm { m } = - \frac { 6 } { 7 } ; ( 2,2 )$
A) $7 x + 6 y = - 26$
B) $6 x + 7 y = - 26$
C) $6 x + 7 y = 26$
D) $6 x - 7 y = 26$

Question

Quizplus · Accepted Answer

The equation of a line with slope $m$ passing through a point $(x_1, y_1)$ can be written as $y - y_1 = m(x - x_1)$. Substituting $m = -\frac{6}{7}$ and the point $(2, 2)$, we get $y - 2 = -\frac{6}{7}(x - 2)$. Multiplying both sides by 7 to clear the fraction gives $7y - 14 = -6x + 12$. Rearranging to the form $Ax + By = C$ gives $6x + 7y = 26$.

Find an Equation of the Line with the Given Slope m=−67;(2,2)\mathrm { m } = - \frac { 6 } { 7 } ; ( 2,2 )m=−76​;(2,2)

Find an Equation of the Line with the Given Slope $\mathrm { m } = - \frac { 6 } { 7 } ; ( 2,2 )$