Question

What is the slope of the line which passes through (1, –2) and (–1, 6)?

4

–4

2

–2

Answer 1

Using y = mx + b, input both points into the formula separately to get

-2 = m + b
6 = -m + b

Combine both fractions together to get

4 = 2b

Divide both sides by 2 to get

2 = b

Substitute b back into the original equation:

-2 = m + 2

subtract 2 from both sides to get:

-2 - 2 = m
-4 = m

Since m represents slope, m = -4 means that the slope is -4

Answer 2

-4