Question

Drag the red and blue dots along the x-axis and y-axis to graph 3x−8y=30

Answer 1

The equation of the line is

`3x-8y=30`

To find the point on the x-axis substitute y by 0

`\begin{gathered} 3x-8(0)=30 \\ 3x-0=30 \\ 3x=30 \end{gathered}`

Divide both sides by 3

`\begin{gathered} (3x)/(3)=(30)/(3) \\ x=10 \end{gathered}`

The point on the x-axis is (10, 0)

To find the point on the y-axis substitute x by 0

`\begin{gathered} 3(0)-8y=30 \\ 0-8y=30 \\ -8y=30 \end{gathered}`

Divide both sides by -8

`\begin{gathered} (-8y)/(-8)=(30)/(-8) \\ y=-3.75 \end{gathered}`

The point on the y-axis is (0, -3.75)

Let us draw them

The red line represents the equation 3x - 8y = 30

The point on the x-axis is (10, 0)

The point on the y-axis is (0, -3.75)