Answer:
Graph attached
Step-by-step explanation:
Here we are given an equation as
[tex]f(x) = \frac{1}{2}x - 2[/tex]
This equation is in slope intercept form. The coefficient of x represent the slope of the line and the constant term represent the y intercept of the line.
Coefficent of x = [tex]\frac{1}{2}[/tex]
Slope = [tex]\frac{1}{2}[/tex]
And also y intercept is constant term which is -2 in this case.
Y intercept = -2
Also , if we put f(x) = 0 in our equation we get
[tex]0= \frac{1}{2}x - 2[/tex]
[tex]2 = \frac{1}{2}x[/tex]
[tex]x = 4[/tex]
Hence x intercept is (4,0)
Hence , our line will pass through (0,-2) and (4,0) also it will be making an angle with the positive direction of x axis , such that its tangent is [tex]\frac{1}{2}[/tex]
