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

$y +2x = 3$

Step-by-step 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