Question

15) What are the x-intercept and the y-intercept of the equation, -16x + y = -4? Describe how to graph this line using the intercepts.

Answer 1

The given equation is

`-16x+y=-4`

To find y-intercept we make x = 0.

`\begin{gathered} -16(0)+y=-4 \\ y=-4 \end{gathered}`

The y-intercept is (0, -4).

To find the x-intercept we make y = 0.

`\begin{gathered} -16x+0=-4 \\ x=-(4)/(-16)=(1)/(4) \end{gathered}`

The x-intercept is (1/4, 0).

To graph this equation, we use the axis interceptions to draw two points, then we draw a straight line through them.