Question

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

Answer 1

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

Answer 2

Answer:

D. $y=-2x-1$

Step-by-step 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.

$m=\frac{y_2-y_1}{x_2-x_1}$, 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:

$m=\frac{-1-3}{0--2}$

$m=\frac{-4}{0+2}$

$m=\frac{-4}{2}$

$m=-2$

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.