Answer:
Option b. [tex]4y=x+1[/tex]
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have the points
(7,2) and (-1,0)
substitute the given values in the formula
[tex]m=\frac{0-2}{-1-7}[/tex]
[tex]m=\frac{-2}{-8}[/tex]
[tex]m=\frac{2}{8}[/tex]
simplify
[tex]m=\frac{1}{4}[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=\frac{1}{4}[/tex]
[tex]point\ (-1,0)[/tex]
substitute
[tex]y-0=\frac{1}{4}(x+1)[/tex]
[tex]y=\frac{1}{4}x+\frac{1}{4}[/tex]
Multiply by 4 both sides
[tex]4y=x+1[/tex]
