Question

Which equation represents a slope of -4 and y-intercept of (0,2)?

y = -4x + 2


y = -2x


y = -2x-4


y = 4x + 2

Answer 1

The equation that represents a slope of -4 and y-intercept of (0,2) is:

`f(x) = -4x + 2`

Explanation:

The equation of a line can be described by a first order equation in the following format:

`f(x) = ax + b`

In which a is the slope of the line and b is the y-intercept.

Solution:

The problem states that the slope is -4, so:

`a = -4`

y intercept is 2, so

`b = 2`

The equation that represents a slope of -4 and y-intercept of (0,2) is:

`f(x) = -4x + 2`

Why the others are wrong?

`y = -2x`

Here, the slope is -2, and the y intercept is (0,0).

`y = -2x-4`

For this option, the slope is -2 and the y intercept is (0,-4).

`y = 4x + 2`

Finally, here we have a slope of 4 and y intercept of (0,2). The y-intercept is what we want, but not the slope