Use the table of points to answer the following questions.


x y
−8 9
−4 6
2 3 over 2


Part A: What is the slope from (−8, 9) to (−4, 6)? Show every step of your work. (1 point)

Part B: What is the slope from (−4, 6) to 2, three halves? Show every step of your work. (1 point)

Part C: What do the slopes from Parts A and B tell you about the relationship between all the points in the table? (2 points)

Respuesta :

The slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the line is negative of the other.

Slope of a line

The slope of a line is the rate of change of the y-axis of the coordinate to x-axis. The formula for calculating the slope of a line is expressed as;

Slope = y2-y1/x2-x1

Given the following coordinate point  (−8, 9) to (−4, 6), the slope is calculated as;

Slope = 6-9/-4+8
Slope = -3/4

For the coordinate points (-4, 6) and (2, 1.5), the slope is calculate;

Slope = 1.5-6/2+4
Slope = -4.5/6
Slope = 0.75

Hence the slope of the coordinate point is 0.75.

Hence the slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the line is negative of the other.

Learn more on slope of a line here: https://brainly.com/question/3493733

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