Question

Which equation best models the data shown in the scatter plot?

In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).

A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5

Answer 1

Answer:

The correct option is;

D. y = 3·x - 5

Step-by-step explanation:

From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;

The slope = (1 - (-7))/(2 - (-0.5)) = 3.2

Taking the slope of the line of best fit as approximately equal to 3, we have;

3.2 ≈ 3

The equation of the line in point and slope form is therefore;

y - 1 = 3 × (x - 2)

y = 3·x - 6 + 1

∴ y = 3·x - 5

Answer 2

Answer:

D

Step-by-step explanation: