graph the line with the equation y = -5x + 3.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-5x + 3$, when $x = 0$, $y=3$. So plot the point $(0,3)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-5x + 3$. Solving for $x$: [ \begin{align*} 5x&=3\ x&=\frac{3}{5}=0.6 \end{align*} ] So plot the point $(0.6,0)$.

Step3: Draw the line

Connect the points $(0,3)$ and $(0.6,0)$ with a straight line.

Answer:

Graph a line passing through the points $(0,3)$ and $(0.6,0)$.