Find the equation of the line. Write the equation in the form Ax + By = C.
-SlopeSlope $- \frac { 6 } { 7 }$ ; passes through (4, 4)
A)6x + 7y = 52
B)6x + 7y = -52
C)7x + 6y = -52
D)6x - 7y = 52

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 the slope $-\frac{6}{7}$ and a point (4, 4), we can substitute these values into the slope-intercept form to find $b$. Substituting the slope and the point gives $4 = -\frac{6}{7}(4) + b$, solving for $b$ gives $b = \frac{52}{7}$. Converting this into the form $Ax + By = C$ by multiplying everything by 7 to clear the fraction and rearranging, we get $6x + 7y = 52$.

Find the Equation of the Line −67- \frac { 6 } { 7 }−76​

Find the Equation of the Line $- \frac { 6 } { 7 }$