Question

The graph below shows a line segment AB:
Graph: http://prntscr.com/bs69oe

Which of the following equations best represents the line segment AB?

y = −3x + 2
y = −2x + 1
y = −3x − 2
y = −2x − 1

Answer 1

@jim_thompson5910

Answer 2

first identify where point A is located in terms of the (x,y) coordinates

Answer 3

A is (-1,5) B is (2,-4), now would I do \[y ^{2} - y ^{1}\]

Answer 4

\[x ^{2} - x ^{1}\]

Answer 5

So then you would get y = -3x + b?

Answer 6

you're thinking of \(\Large y_2 - y_1\)

it is NOT \(\Large y^2 - y^1\)

Answer 7

oh ok

Answer 8

Is the answer A?

Answer 9

you have the correct slope though

Answer 10

yes the final answer is y = -3x+2

Answer 11

you can check by plugging in each point

Answer 12

point A = (x,y) = (-1,5)
x = -1
y = 5


y = -3x+2
5 = -3(-1)+2
5 = 3+2
5 = 5


So point A lies on this line

Answer 13

point B = (x,y) = (2,-4)
x = 2
y = -4


y = -3x+2
-4 = -3(2)+2
-4 = -6+2
-4 = -4


So does point B

Answer 14

So if I wanted to find the slope of this graph http://prntscr.com/bs6d5s I would do:
(-2, 2) (4, -1)
\[\frac{ -3 }{ 2 }\]

I am confused cause that is not an answer.

Answer 15

Or would the slope be -2?

Answer 16

(x1,y1) = (-2,2)
(x2,y2) = (4,-1)


Slope Formula
\[\Large m = \frac{y_1 - y_2}{x_1 - x_2}\]
\[\Large m = \frac{-1-2}{4-(-2)}\]
\[\Large m = \frac{-1-2}{4+2}\]
\[\Large m = \frac{-3}{6}\]
\[\Large m = -\frac{1}{2}\]

Answer 17

It's @OswaldMurphy y = −3x + 2, or choice A. You can tell by looking at the y-intercept of the graph, the line segment intercepts the y-axis at positive 2.

Answer 18

Oh ok XD

Answer 19

sorry I meant to put
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
but everything else would be the same

Answer 20

actually
\[\Large m = \frac{y_1 - y_2}{x_1 - x_2}\]
is equivalent to
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
so you can use either one