Step 1a

Given line.

Explanation:

Given line is \$4x − 5y − 9 = 0\$.

Step 1b

Slope intercept form of line.

Explanation:

Slope intercept form of line is \$y = mx + c\$,

where m is slope of the line and c is y-intercept.

Step 1c

Convert standard form line equation to slope intercept form.

Explanation:

Slope intercept form of give line equation.

\$=> 4x − 5y − 9 = 0\$

\$=> − 5y = - 4x − 9 \$

\$=> − y = - 4/5x − 9/5 \$

\$=> y = 4/5x + 9/5 \$

Slope of line \$(m) = 4/5\$ and y intercept is \$9/5\$.