Question

What is the slope of the line described by the data in the table below?

A 2/5
B 2/3
C 5/4
D 5/2

Answer 1

The answer to the problem is C

Answer 2

D

Explanation:

General Equation: y = mx + b

You need two pieces of data to solve this.

When x = 1, y = 8

8 = 1x + b

When x = -1, y = 3

3 = - x + b

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8 = x + b

3 = -x + b If we add we get b so let's add.

11 =2b Divide by 2

11/2 = b

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y = mx + b

y = mx + 11/2 Now we can solve for m

3 = -m + 11/2 Subtract 11/2

3 - 11/2 = - m

- 2 1/2 = -m multiply by - 1

2 1/2 = m

m = 5/2

The answer is D