Write the equation of the line that passes through the point P (0,0) and is parallel to the line y = 2x - 4.
A)x = 2y
B)y = 4x +2
C)y = -4x
D)y = 2x
E)y = 4x

Question

Quizplus · Accepted Answer

To find the equation of a line that is parallel to a given line, we need to use the fact that parallel lines have the same slope.

The given line y = 2x - 4 is in slope-intercept form, where the slope is 2. Therefore, any line that is parallel to this one must also have a slope of 2.

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

In this case, the given point is P(0,0) and the slope is 2. Plugging these values into the point-slope form, we get:

y - 0 = 2(x - 0)

Simplifying, we get:

y = 2x

which is equation D.

Write the Equation of the Line That Passes Through the Point