The equation of the line is
[tex]y=-8x-4[/tex]Step 1: Calculate the y-intercept
To calculate the coordinate of the y-intercept, we will put the value of x = 0
[tex]\begin{gathered} y=-8x-4 \\ y=-8(0)-4 \\ y=0-4 \\ y=-4 \end{gathered}[/tex]The coordinate of the y-intercept is
[tex](0,-4)[/tex]Step 2: Calculate the x-intercept
To calculate the coordinate of the x-intercept, we will put the value of y =0
[tex]\begin{gathered} y=-8x-4 \\ 0=-8x-4 \\ 8x=-4 \\ \text{divide both sides by 8} \\ \frac{8x}{8}=-\frac{4}{8} \\ x=-\frac{1}{2} \\ x=-0.5 \end{gathered}[/tex]The coordinate of the x-intercept is
[tex](-\frac{1}{2},0)=(-0.5,0)[/tex]Using a graphing calculator, we will have the graph of the line be
