Question

For the equation given below, find the slope and the y-intercept:

$x=5y-4$

• A. $\frac{1}{5}and\frac{4}{5}$
• B. $\frac{4}{5}and\frac{4}{5}$
• C. $\frac{4}{5}and\frac{1}{5}$
• D. $\frac{1}{5}and\frac{1}{5}$

Answer 1

The correct option is A $\frac{1}{5}and\frac{4}{5}$

The equation of any straight line can be written as $y=mx+c$,

where $m$ is its slope and $c$ is its y - intercept.

$x=5y-4$ can be written as $4y=x+4$ or $y=\frac{1}{5}x+\frac{4}{5}$
Comparing this equation with the standard form of the equation, we get:

$m=\frac{1}{5},c=\frac{4}{5}$

Hence, slope of $x=5y-4$ is $\frac{1}{5}$ and y -intercept is $\frac{4}{5}$