We must plot the graph and find the y-intercept of the line:
[tex]y=\frac{1}{2}x+2.[/tex]The general slope-intercept equation of a line is:
[tex]y=m\cdot x+b\text{.}[/tex]Where;
• m is the slope of the line,
,• b is the value of the y-intercept.
In this problem we have:
• m = 1/2,
,• b = 2.
To plot the graph of the line, we must identify two points of it, and trace a line that connects the points.
• point of ,y-intercept, (the value obtained of y by making x = 0):
[tex]P_1=(x_1,y_1)=(0,2)\text{.}[/tex]• point of x-intercept (the value obtained of x by making y = 0):
[tex]P_2=(x_2,y_2)=(-4,0)\text{.}[/tex]We plot the points, and then we trace a line that connects the two points:
