In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
5 miles ===> $1.75 x1 = 5 y1 = 1.75
9 miles ===> $2.75 x2 = 9 y2 = 2.75
point slope form of the line = ?
Step 02:
Slope formula
[tex]m\text{ = }\frac{y2\text{ -y1}}{x2-x1}[/tex][tex]m=\text{ }\frac{2.75-1.75}{9-5}=\frac{1}{4}=0.25[/tex]Point-slope form of the line
(y - y1) = m (x - x1)
(y - 1.75) = 0.25 (x - 5)
y - 1.75 = 0.25x - 1.25
y = 0.25x - 1.25 + 1.75
y = 0.25x + 0.5
The answer is:
The point slope form of the line is y = 0.25x + 0.5