Question

The graph below shows a line segment MN: Which of the following equations best represents the line segment MN?

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

Answer 1

y= -2x-1 is the asnwer i think
hope this helped

Answer 2

D.
`y=-2x-1`

Explanation:

We have been given a line on coordinate plane. We are asked to find the equation of our given line.

First of all, we will find slope of our given line using points
`(-2,3)` and
`(0,-1)` in slope formula.

`m=(y_2-y_1)/(x_2-x_1)`, where,

`y_2-y_1` = Difference between two y-coordinates,

`x_2-x_1` = Difference between two x-coordinates of same y-coordinates.

Upon substituting our given values in slope formula, we will get:

`m=(-1-3)/(0--2)`

`m=(-4)/(0+2)`

`m=(-4)/(2)`

`m=-2`

Now, we will use slope-intercept form of equation
`y=mx+b`, where,

m = Slope of line,

b = The y-intercept.

Upon looking at our given graph, we can see that y-intercept is
`-1`.

Therefore our required equation would be
`y=-2x-1` and option D is the correct choice.