Answer: The graph is attached.
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
You can solve for "y":
[tex]2y<5x-10\\\\y<\frac{5}{2}x-\frac{10}{2}\\\\y<\frac{5}{2}x-5[/tex]
You need to rewrite the expression:
[tex]y=\frac{5}{2}x-5[/tex]
You can identify that the slope of this line is:
[tex]m=\frac{5}{2}[/tex]
And the y-intercept is:
[tex]b=-5[/tex]
Substitute [tex]y=0[/tex] and solve for "x" to know the x-intercept:
[tex]0=\frac{5}{2}x-5\\\\5*2=5x\\\\x=2[/tex]
Now you know that the line passes through the points (0,-5) and (2,0).
Since the inequality is "<", you know that the line must be dashed and the shaded region must be below the line [tex]y=\frac{5}{2}x-5[/tex].
Knowing this, you can graph it (Observe the graph attached)
