Question

BRAINLIEST TO WHOEVER IS CORRECT!!!

Answer 1

Answer:

y=$-\frac{4}{3}$x+2

Step-by-step explanation:

To write the equation for this line, we are going to use slope-intercept form, which is written as

y=mx+b.

Here are the meanings of each variable:

y= basically the "name" of the function and it always stays as y.

m= slope, which is rise over run.

x= variable that is always on the right of the slope and it always stays as x.

b= y-intercept, or the value that crosses the y-axis.

We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.

The line crosses the y-axis at 2, so that is our value of b.

Our new equation is

y=mx+2.

Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).

If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is $-\frac{4}{3}$, and we can substitute it into our equation, which is completed and is now

y=$-\frac{4}{3}$x+2

I hope this helps you out!! Have an awesome day ^^