Plot the following points: (6, 2), (7, 5), (8, 8), (9, 9). In your scatter diagram, sketch a line that best seems to fit the data. Estimate the slope and the y-intercept of the line.
A) Estimated slope: 2; Estimated y-intercept: -12.5
B) Estimated slope: 2.5; Estimated y-intercept: -13
C) Estimated slope: 2.9; Estimated y-intercept: -15.3
D) Estimated slope: 1.2; Estimated y-intercept: -1.5
E) Estimated slope: 2.5; Estimated y-intercept: -16

Question

Plot the following points: (6, 2), (7, 5), (8, 8), (9, 9). In your scatter diagram, sketch a line that best seems to fit the data. Estimate the slope and the y-intercept of the line.
A) Estimated slope: 2; Estimated y-intercept: -12.5 
B) Estimated slope: 2.5; Estimated y-intercept: -13 
C) Estimated slope: 2.9; Estimated y-intercept: -15.3 
D) Estimated slope: 1.2; Estimated y-intercept: -1.5 
E) Estimated slope: 2.5; Estimated y-intercept: -16

Quizplus · Accepted Answer

After plotting the given points, we can see that the data seems to be linear and increasing. It looks like a line passing through the points (6, 2) and (9, 9) would be a good fit. To estimate the slope, we can use the formula:
Slope = (change in y) / (change in x)
Slope = (9-2) / (9-6) = 2.3333 (rounded to 2.5)
To estimate the y-intercept, we can use the formula for the equation of a line:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting the slope and one of the points (e.g. (6, 2)) into the equation, we can solve for b:
2 = 2.5(6) + b
b = -13
So the estimated slope is 2.5 and the estimated y-intercept is -13.

Plot the Following Points: (6, 2), (7, 5), (8, 8)