Question

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.

Answer 1

b, because the slopes in down two over one

Answer 2

B. y=-2x+1

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

`P1(x_(1),y_(1))\\P2(x_(2),y_(2))`

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

now, replacing

P=P1=(-1,3)

Q=P2=(2,-3)

`m=(-3-3)/(2-(-1))\\m=(-6)/(3) \\m=-2`

Step 2

use the slope and P to find y

`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)`

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

Have a good day