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

Option D

Step-by-step explanation:

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

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 .

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

.

Finally the equation of the line will be:

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

The answer is the option D