The line passes through the points (0,4) and (8,8) hence the equation of the line by two point form is given by:
[tex]\begin{gathered} \frac{y-4}{x-0}=\frac{4-8}{0-8} \\ y-4=x(\frac{1}{2}) \\ 2y-8=x \\ y=\frac{1}{2}x+4 \end{gathered}[/tex]
Compare the equation with slope intercept form given by:
[tex]y=mx+c[/tex][tex]\text{Slope}=m=\frac{1}{2},y-intercept=c=4[/tex]
The y-intercept is 4 and it tells that the line has positive y-intecept so it cuts the y-axis at 4.
The slope is 1/2 and it tells that the line is progressively increasing since slope is positive.
