Question

Which function represents a line with a slope of −4 and a y-intercept of −2?

A) y = 4x − 2
B) y = −4x + 2
C) y = −4x − 2
D) y = −2x − 4

Answer 1

The correct answer is C) y = -4x - 2.

Answer 2

C)
`y = -4x - 2`

Explanation:

The general equation of a line in the xy plane is as follows:

`y = mx + b`

where
`m` is the slope of the line, and
`b` is the intercept with the y axis.

In this case we want a line with a slope of -4, therefore:

`m = -4`

and we also want a y-intercept of -2, so:

`b = -2`

Substituting in the general equation of the straight line:

`y = mx + b`

⇒
`y = -4x-2`

wich is option C