Question

Select the correct answer.

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

Solution

If a line with a slope of -2:

Slope: m=-2

crosses the y-axis at (0,3):

(0,3)=(0,b)→b=3

What is the equation of the line?

y=mx+b

Replacing the known values:

y=-2x+3

Adding 2x both sides of the equation:

y+2x=-2x+3+2x

y+2x=3