Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]3x - 4y = 8[/tex]
Required
Graph the line
First, we calculate the intercepts
Set x = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3*0 - 4y = 8[/tex]
[tex]- 4y = 8[/tex]
Divide by -4
[tex]y = -2[/tex]
So, we have:
[tex](x,y) = (0,-2)[/tex]
Next, set y = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3x - 4 * 0 = 8[/tex]
[tex]3x = 8[/tex]
Divide by 3
[tex]x = 8/3[/tex]
So, we have:
[tex](x,y) = (8/3,0)[/tex]
The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]
