SweetBriar
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Which of the following equations best represents the line segment PQ?

A. y = −3x + 2
B. y = −2x + 1
C. y = −3x − 2
D. y = −2x − 1

I think it's either B or D, because I know the y-intercept is 1.

Which of the following equations best represents the line segment PQ A y 3x 2 B y 2x 1 C y 3x 2 D y 2x 1 I think its either B or D because I know the yintercept class=

Respuesta :

Lopeztiffani98
b, because the slopes in down two over one

Answer:

B. y=-2x+1

Step-by-step explanation:

Hello, I think I can help you with this.

using two points of a line , it is possible to find the equation

Step 1

if P1 Y P2 are two points of a line

[tex]P1(x_{1},y_{1})\\P2(x_{2},y_{2})[/tex]

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

now, replacing

P=P1=(-1,3)

Q=P2=(2,-3)

[tex]m=\frac{-3-3}{2-(-1)}\\m=\frac{-6}{3} \\m=-2[/tex]

Step 2

use the slope and P to find y

[tex]y-y_{1} =m(x-x_{1} )\\y-3 =-2(x-(-1) )\\y-3=-2x-2\\Add\ 3\ to\ both\ sides\\y=-2x-2+3\\y=-2x+1\\\\y=-2x+1   (B)[/tex]

so the equation of the line is y=-2x+1

Have a good day

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