Determine the slope and the y-intercept of the graph of the equation.
-$$x + 7 y - 1 = 0$$
A) $\mathrm { m } = - \frac { 1 } { 7 } ; \left( 0 , \frac { 1 } { 7 } \right)$
B) $\mathrm { m } = 1 ; ( 0,1 )$
C) $\mathrm { m } = \frac { 1 } { 7 } ; \left( 0 , \frac { 1 } { 7 } \right)$
D) $\mathrm { m } = - 7 ; ( 0,7 )$

Question

Quizplus · Accepted Answer

To find the slope (m) and y-intercept, the equation needs to be in slope-intercept form, y = mx + b. Rewriting the given equation $x + 7y - 1 = 0$ as $7y = -x + 1$, and then $y = -\frac{1}{7}x + \frac{1}{7}$, we find the slope $m = -\frac{1}{7}$ and the y-intercept at $(0, \frac{1}{7})$.

Determine the Slope and the Y-Intercept of the Graph of the Equation