Question

Question 3 of 10

The slope of the line below is 4. Which of the following is the point-siope form
of the line?
A. y- 4 = 4(x-3)
B. y+ 4 = 4(x + 3)
C. y+ 4 = 4(x+3)
Dy-4--4(x-3)

Answer 1

The point-slope form of the line is:

`y + 4 = 4(x+3)`

Hence, option B is correct.

Explanation:

We know the point-slope form of the line equation is

`y-y_1=m\left(x-x_1\right)`

where

• m is the slope of the line

• (x₁, y₁) is the point

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

`y-y_1=m\left(x-x_1\right)`

`y - (-4) = 4(x - (-3))`

`y + 4 = 4(x+3)`

Therefore, the point-slope form of the line is:

`y + 4 = 4(x+3)`

Hence, option B is correct.

• The graph of the line is also attached.