Question

What equation is graphed in this figure?

Answer 1

To find equation of the line we need to find out the slope and y intercept

Y intercept is the point where the graph crosses y axis.

In the graph , y intercept is (0,1). so we can also say y intercept is 1.

Now we find out the slope

To find slope we need two points

Lets pick two points from the graph

(0,1) and (-2,4)

Slope m = $\frac{y_2-y_1}{x_2 - x_1}$ =$\frac{4-1}{-2 - 0}$

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

Now we find the equation of the line.

We use y= mx + b

Where m is the slope ( we got m = $\frac{-3}{2}$)

and b is the y intercept ( y intercept is 1 we got)

Replace the values in y=mx+b

y = $\frac{-3}{2}$ x + 1

The equation graphed in the figure is y = $\frac{-3}{2}$ x + 1

Answer 2

-3/2 that's the answer idk what else to say lol.