Question

If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

A.
y − 2x = 3

B.
-2y + 3x = 1

C.
y + 3x = 2

D.
y + 2x = 3

Answer 1

Answer: Option D

`y +2x = 3`

Explanation:

The equation of a line in the form of "slope-interception" has the following form:

`y = mx + b`

Where m is the slope of the line and b is the interception of the line with the y axis.

In this case we know that the line has a slope of -2. Then
`m = -2`.

We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:

`b = 3`.

Finally the equation of the line will be:

`y = -2x + 3`

If we add 2x on both sides of the equation we get:

`y +2x = 3`

The answer is the option D