Question

Sketch y-2x = 3 showing both intercepts on both axes

Answer 1

Given:

`y-2x=3`

To find:

We need to draw the given line with y-intercept and x-intercepts.

Step-by-step explanation:

Recall that the y-intercept is the point where the line crosses the y-axis.

Substitute x=0 in the given equation to find the y-intercept.

`y-2(0)=3`

`y=3`

The y-intercept is (0,3).

Recall that the x-intercept is the point where the line crosses the x-axis.

Substitute y=0 in the given equation to find the s-intercept.

`(0)-2x=3`

`-2x=3`

Dividing both sides by -2, we get

`x=-(3)/(2)`
`x=-1.5`

The x-intercept is (-1.5,0).

Mark points (0,3) and (-1.5,0) on the graph and join them by ray.

The graph of the line: