Question

I need help on number 11 find the point slope form of a line

Answer 1

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

`m\text{ = }\frac{y2\text{ -y1}}{x2-x1}`
`m=\text{ }(2.75-1.75)/(9-5)=(1)/(4)=0.25`

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