Use the slope-intercept form of a line:

y=mx+b

Substitute \(\displaystyle{m}=\frac{{5}}{{4}}\) and b=−2

\(\displaystyle{y}=\frac{{5}}{{4}}{x}+{\left(-{2}\right)}\)

\(\displaystyle{y}=\frac{{5}}{{4}}{x}-{2}\)

The standard form of a line is Ax+By=C. Multiply both sides by 4:

4y=5x−8

Rearranging,

8=5x−4y

or

5x−4y=8

y=mx+b

Substitute \(\displaystyle{m}=\frac{{5}}{{4}}\) and b=−2

\(\displaystyle{y}=\frac{{5}}{{4}}{x}+{\left(-{2}\right)}\)

\(\displaystyle{y}=\frac{{5}}{{4}}{x}-{2}\)

The standard form of a line is Ax+By=C. Multiply both sides by 4:

4y=5x−8

Rearranging,

8=5x−4y

or

5x−4y=8