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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)

Question 3 Of 10 The Slope Of The Line Below Is 4 Which Of The Following Is The Pointsiope Form Of The Line A Y 4 4x3 B Y 4 4x 3 C Y 4 4x3 Dy44x3 class=

Sagot :

absor201

Answer:

The point-slope form  of the line is:

[tex]y + 4 = 4(x+3)[/tex]

Hence, option B is correct.

Step-by-step explanation:

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

[tex]y-y_1=m\left(x-x_1\right)[/tex]

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

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-4) = 4(x - (-3))[/tex]

[tex]y + 4 = 4(x+3)[/tex]

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

[tex]y + 4 = 4(x+3)[/tex]

Hence, option B is correct.

  • The graph of the line is also attached.
View image absor201
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