Question

Sketch the graph of y = -8x - 4

Answer 1

The equation of the line is

`y=-8x-4`

Step 1: Calculate the y-intercept

To calculate the coordinate of the y-intercept, we will put the value of x = 0

`\begin{gathered} y=-8x-4 \\ y=-8(0)-4 \\ y=0-4 \\ y=-4 \end{gathered}`

The coordinate of the y-intercept is

`(0,-4)`

Step 2: Calculate the x-intercept

To calculate the coordinate of the x-intercept, we will put the value of y =0

`\begin{gathered} y=-8x-4 \\ 0=-8x-4 \\ 8x=-4 \\ \text{divide both sides by 8} \\ (8x)/(8)=-(4)/(8) \\ x=-(1)/(2) \\ x=-0.5 \end{gathered}`

The coordinate of the x-intercept is

`(-(1)/(2),0)=(-0.5,0)`

Using a graphing calculator, we will have the graph of the line be