Answer:
a) slope is (1/6)
b) y-intercept is (1/2)
Step-by-step explanation:
We are asked to provide an equation that describes the data in the table. We'll assume there is a linear relationship andf that the data will fit a line of the general format of y = mx + b, where m is the slope and b is the y-intercept (the value of y when x is zero).
The slope, m, can be determined by calculating the "Rise over the Run," which is the change in y divided by the change in x. For a straight line, we can take any two points to calculate this Rise/Run, or slope, m. I'll pick (3,1) and (15,3):
Rise (in y) = (3-1) = 2. Run (the x values for the y points chosen) = (15-3) = 12.
The Rise/Run is (2/12) or (1/6).
We now have y = (1/6)x + b
To find b, enter any one point and solve for b. I'll choose (3,1):
y = (1/6)x + b
1 = (1/6)(3) + b
b = 0.5
The equation is y = (1/6)x + 0.5
