Questions: Question 7, 2.3.15 Part 1 of 2 HW Score: 18.18%, 6 of 33 points Points: 0 of 1 (a) Find the slope of the line and (b) interpret the slope. (a) The slope of the line is (Simplify your answer.)

Question 7, 2.3.15 Part 1 of 2 HW Score: 18.18%, 6 of 33 points Points: 0 of 1 (a) Find the slope of the line and (b) interpret the slope. (a) The slope of the line is (Simplify your answer.)
Transcript text: Question 7, 2.3.15 Part 1 of 2 HW Score: 18.18%, 6 of 33 points Points: 0 of 1 (a) Find the slope of the line and (b) interpret the slope. (a) The slope of the line is $\square$ (Simplify your answer.)
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Solution

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Solution Steps

Step 1: Identify two points on the line.

The problem provides two points: (-1, 1) and (1, -2).

Step 2: Calculate the slope.

The slope (m) of a line is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁) Using the given points (-1, 1) and (1, -2): m = (-2 - 1) / (1 - (-1)) m = (-3) / (1 + 1) m = -3/2

Step 3: Interpret the slope.

The slope represents the change in y for every unit change in x. In this case, the slope is -3/2. This means that for every 2 units we move to the right along the x-axis, the y-value decreases by 3 units.

Final Answer

(a) -3/2 (b) For every 2 unit increase in x, y decreases by 3 units.

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