Match the equation of the line with the point it contains and its slope.
-$- 2 x + 7 y = 8$
A) $m = \frac { 7 } { 2 }$
B) $m = \frac { 2 } { 7 }$

Question

Match the equation of the line with the point it contains and its slope.
-$- 2 x + 7 y = 8$ 
A) $m = \frac { 7 } { 2 }$ 
B) $m = \frac { 2 } { 7 }$

Quizplus · Accepted Answer

To find the slope $m$ of the line given by the equation $-2x + 7y = 8$, we first rewrite the equation in slope-intercept form, $y = mx + b$. Solving for $y$, we get $7y = 2x + 8$, and then $y = \frac{2}{7}x + \frac{8}{7}$. Thus, the slope $m$ is $\frac{2}{7}$.

Match the Equation of the Line with the Point It −2x+7y=8- 2 x + 7 y = 8−2x+7y=8

Match the Equation of the Line with the Point It $- 2 x + 7 y = 8$