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

Given:
[tex]y-2x=3[/tex]To find:
We need to draw the given line with y-intercept and x-intercepts.
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.
[tex]y-2(0)=3[/tex][tex]y=3[/tex]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.
[tex](0)-2x=3[/tex][tex]-2x=3[/tex]Dividing both sides by -2, we get
[tex]x=-\frac{3}{2}[/tex][tex]x=-1.5[/tex]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: