Answer
See below:
Work Step by Step
The general equation in slope-intercept form is:
\[y=mx+c\]
Where \[m\] is the slope and \[c\] is the\[y\text{-intercept}\].
Now, consider the provided equation which is in the slope-intercept form.
\[y=\frac{-2}{3}x+5\]
The slope is \[\frac{-2}{3}\] and \[y-\text{intercept}\]is \[5\].
Follow the following steps to plot the equation.
Step 1: Plot the \[y-\text{intercept}\]on\[y-\text{axis}\], that is, \[\left( 0,5 \right)\].
Step 2: Write slope in a fraction, that is, \[\frac{-2}{3}\].
Step 3: Plot the second point on the line passing through\[\left( 0,5 \right)\]. Now according to slope move 2 units down and 3 unit right. The second point is\[\left( 3,3 \right)\].
The resulting graph is shown above.
