Question

Write the point-slope form of the equation of the line using the given info.

A. y - 4 = -2x
B. y - 4 = 2x
C. y = -2x - 4
D. y = -2x + 4

Answer 1

The point-slope form of the equation of the line is y - 4 = -2x.

Step-by-step explanation:

The point-slope form of the equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

So, from the given options, the point-slope form of the equation of the line is:

• A. y - 4 = -2x

The slope of this line is -2 and a point on this line is (0, 4). So, the point-slope form becomes:

• y - 4 = -2(x - 0)

Simplifying this equation further gives:

• y - 4 = -2x

Therefore, the correct answer is option A, y - 4 = -2x.