We can start off by two of the coordinates that are given in the table. I will be using the first two coordinates in the table: (3,180) & (4,360)
To find the slope, we can use the slope-intercept formula: m= y2-y1/x2-x1
The first coordinate (3,180) will be represented as (x1,y1) so x1=3 and y1=180. For the second coordinate (4,360), this will be represented as (x2,y2) so x2=4 and y2=360.
Entering them into the formula, it will look like:
m=360-180/4/3
m=180/1 or just 180
So, the slope(m) is 180.
To find the y-intercept or b, we can use one pair of coordinates. I will use the first coordinates (3,180).
We know that, in the coordinates, x=3 and y=180. We also know that the slope-intercept form is y=mx+b. Also, m=180
So we can substitute the values we do know into the form.
So,
180=180(3)+b
180=540+b
Solving like any other two step problem, we subtract 540 on both sides to isolate b.
-360=b
Therefore, m=180 and b=-360. So, it should be D.
