Find the slope and the $y$-intercept of the line.
-$7 x+5 y=48$
A) Slope $\frac{5}{7} ; y$-intercept $\biggl(0, \frac{5}{48}\biggl)$
B) Slope $-\frac{7}{5} ; y$-intercept $\biggl(0, \frac{48}{5}\biggl)$
C) Slope $\frac{7}{5} ; y$-intercept $\biggl(0, \frac{48}{5}\biggl)$
D) Slope $-\frac{5}{7} ; \mathrm{y}$-intercept $\biggl(0, \frac{5}{48}\biggl)$

Question

Quizplus · Accepted Answer

To find the slope and $y$-intercept, the equation needs to be in slope-intercept form, $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. Rearranging $7x + 5y = 48$ to this form gives $y = -\frac{7}{5}x + \frac{48}{5}$, making the slope $-\frac{7}{5}$ and the $y$-intercept $(0, \frac{48}{5})$.

Find the Slope and The yyy -Intercept of the Line 7x+5y=487 x+5 y=487x+5y=48

Find the Slope and The $y$ -Intercept of the Line $7 x+5 y=48$