Answer:
C. [tex]y=\frac{1}{4}x+2[/tex]
Step-by-step explanation:
We have been given that the point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is [tex]y-4=\frac{1}{4}(x-8)[/tex]. We are asked to find the slope-intercept form of the equation.
To convert our given equation in slope-intercept form, we will separate y on left side of equation.
[tex]y-4=\frac{1}{4}\cdot x-\frac{1}{4}\cdot 8[/tex]
[tex]y-4=\frac{1}{4}x-2[/tex]
Add 4 on both sides:
[tex]y-4+4=\frac{1}{4}x-2+4[/tex]
[tex]y=\frac{1}{4}x+2[/tex]
Therefore, the equation of line in slope-intercept form would be [tex]y=\frac{1}{4}x+2[/tex]and option C is the correct choice.
