we have
[tex]2x-y >5[/tex]
Isolate the variable y
[tex]-y >-2x+5[/tex]
Multiply by [tex]-1[/tex] both sides
[tex]y <2x-5[/tex]
The solution is the shaded area below the dotted line
The slope of the line is positive -----> [tex]m=2[/tex]
The y-intercept is [tex]-5[/tex] ----> (find the value of y for x equal zero)
The x-intercept is [tex]2.5[/tex] ---> (find the value of x for y equal zero)
therefore
the answer in the attached figure
