Question

Find the value of r so the line that passes through each pair of points has the given slope.

A) r = 2
B) r = -4
C) r = 0
D) r = 1

Answer 1

To find the slope of the line passing through points (1, 0.1) and (7, 26.8), the formula (y2 - y1) / (x2 - x1) is used, yielding a slope of 4.45. Therefore, option b (4.5) is the correct slope.

Step-by-step explanation:

The question requires determining the value of r given a slope and two points, indicating a problem in linear equations within algebra. To find the slope of a line passing through two points, you can use the formula slope (m) = (y2 - y1) / (x2 - x1). Let's apply this to Point 1: (1, 0.1) and Point 2: (7, 26.8).

Using the points given:

• x1 = 1, y1 = 0.1
• x2 = 7, y2 = 26.8

Substitute these into the slope formula:

m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45

Therefore, the correct answer is b. 4.5.