Answer: y=-3/2x+3
Explanation:
when they say to find the equation of the line, it means to put it into slope intercept form, or y=mx+b
m is the slope
b is the y intercept, or the first point on the y axis that the line intersects.
Step 1: find the slope
There are 2 ways to find the slope.
Method 1: Rise/run
Find any point on the line. make sure it's an actual point, not one that's in between 2 seperate points. An example is the point (-2,6).
Next, find the NEAREST point on the line. (Actual point, not one in between a point). I used the nearest point that was lower since the line goes down and hence has to have a negative slope. (0,3) is the next point.
RISE: How many points you go up or down to get from one point to the next. In this case, we go down by 3 units.
RUN: How many points you go right or left to get from one point to the other. Here we go right 2 units.
Rise/run= -3/2
-3/2 because the line is going DOWN. When the line goes down, the slope is always negative.
Step 2: find the y intercept
The y intercept is 0,3 because this is where the line first crosses over the y axis.
Step 3: Plug into the y=mx+b equation
m is the slope, and the slope is -3/2. So m=-3/2
b= 3 (because y=3).
Final equation:
y=mx+b
y= -3/2x+3
Hope this helps!!