To find the graph of this line we first need to find its equation. The equation of a line in its slope-intercept form is:
[tex]y=mx+b[/tex]
In this case m=2 and b=-7. Then:
[tex]y=2x-7[/tex]
Once we have the equation we just need to find two points on the line, to do this we give x a value (whichever value we like). Using x=0, we find that:
[tex]y=2(0)-7=-7[/tex]
Then we have the point (0,-7).
Now we use x=1, then:
[tex]y=2(1)-7=-5[/tex]
Then we have the point (1,-5).
Now that we have two points (0,-7) and (1,-5) we graph them in the plane:
Finally we join the points with a straight line:
