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

Answer:

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

B. $y=1.5x-1$.

Step-by-step explanation:

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

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

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{5-2}{4-2}$

This gives $m=\frac{3}{2}=1.5$.

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:

$y-5=1.5x-6$.

$y=1.5x-6+5$.

$y=1.5x-1$.