Question

The slope and $y$-intercept of the following line are respectively

$5x-8y=-2$

• A. slope $=m=-\frac{5}{8}$ and $y$-intercept $=\frac{1}{4}$
• B. slope $=m=\frac{5}{8}$ and $y$-intercept $=-\frac{1}{4}$
• C. slope $=m=-\frac{5}{8}$ and $y$-intercept $=-\frac{1}{4}$
• D. slope $=m=\frac{5}{8}$ and $y$-intercept $=\frac{1}{4}$

Answer 1

The correct option is D slope $=m=\frac{5}{8}$ and $y$-intercept $=\frac{1}{4}$

$Toobtaintheslopeandy-interceptofanequationofanyformwriteitinslope-interceptformwhichisy=mx+c.Thenslope=mandy-intercept=c.$
The given equation is: $5x-8y=-2$
$-8y=-5x-2$
$y=\frac{5}{8}x+\frac{2}{8}$
Compare it with general form of equation: $y=mx+c$
m = $\frac{5}{8}$, y - intercept = c = $\frac{1}{4}$