Question

Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)

Answer 1

The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Point-slope form of an equation of a line

From the question, we are to determine the point-slope form of the given line

The point-slope form of an equation of a straight line is written as

$y-y_{1}=m(x-x_{1})$

Where m is the slope and $(x_{1},\ y_{1})$ is a point on the line

From the given information,

m = -3

And in the diagram,

One of the points on the line is (2, -2)

Therefore, we can write that

x₁ = 2 and y₁ = -2

Substituting into the point-slope form of an equation of a line,

We get

y - (-2) = -3(x - 2)

This becomes

y + 2 = -3(x - 2)

Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231

The diagram for the question is attached below.