Question

Find the slope and $y$-intercept of the line $2x+5y=1$

• A. slope $=$ $-\frac{2}{5}$, $y$-intercept $=$ $\frac{1}{5}$
• B. slope $=$ $-\frac{1}{5}$, $y$-intercept $=$ $\frac{1}{5}$
• C. slope $=$ $-\frac{2}{3}$, $y$-intercept $=$ $\frac{1}{5}$
• D. slope $=$ $-\frac{2}{5}$, $y$-intercept $=$ $\frac{2}{5}$

Answer 1

Answer: (A)

slope $=$ $-\frac{2}{5}$, $y$-intercept $=$ $\frac{1}{5}$

The slope intercept form of the line is $y=mx+c$, where $m$ is the slope of the line and $c$ is the $y$-intercept.

Change the equation $2x+5y=1$ in slope intercept form:

$2x+5y=1$

$5y=-2x+1$

$y=-\frac{2}{5}x+\frac{1}{5}$

Hence, the slope of the line $2x+2y=-2$ is $m=-\frac{2}{5}$ and the $y$-intercept is $\frac{1}{5}$.