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

$\begin{gathered} \frac{3x}{3}=\frac{30}{3} \\ x=10 \end{gathered}$

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

$\begin{gathered} \frac{-8y}{-8}=\frac{30}{-8} \\ y=-3.75 \end{gathered}$

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)