Answer:
The graph of the line in the attached figure
Step-by-step explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(-2,2)\ B(2,4)[/tex]
Substitute the values
[tex]m=\frac{4-2}{2+2}[/tex]
[tex]m=\frac{2}{4}=0.5[/tex]
The equation of the line into slope-point form is equal to
[tex]y-y1=m(x-x1)[/tex]
[tex]y-4=0.5(x-2)[/tex]
[tex]y=0.5x-1+4[/tex]
[tex]y=0.5x+3[/tex]
The slope of the line is positive [tex]m=0.5[/tex]
The y-intercept is the point [tex](0,3)[/tex]
The x-intercept is the point [tex](-6,0)[/tex]
Plot the intercepts to graph the line
The graph of the line in the attached figure
