Answer:
y=[tex]-\frac{4}{3}[/tex]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 [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now
y=[tex]-\frac{4}{3}[/tex]x+2
I hope this helps you out!! Have an awesome day ^^
