Question

Question 3 of 10

1 Point
Which of the following are equations for the line shown below? Check all that
apply.
(2, 2)
DA y- 5 = 1.5(x-4)
O B. y=1.5x-1
C. y-4 = 1.5(x-5)
D. y-2 = 1.5(x-2)

Answer 1

A.
`y-5=1.5(x-4)`.

B.
`y=1.5x-1`.

Explanation:

The given line passes through (2,2) and (4,5).

The slope the given line can be found using the formula;

`m=(y_2-y_1)/(x_2-x_1)`

`m=(5-2)/(4-2)`

This gives
`m=(3)/(2)=1.5`.

The slope-intercept form is
`y-y_1=m(x-x_1)`.

We substitute the second point to get:

`y-5=1.5(x-4)`.

We expand to get:

`y-5=1.5x-6`.

`y=1.5x-6+5`.

`y=1.5x-1`.