Find an equation of the line passing through the origin and parallel to the line passing through the points (2,13) and (5,25).
A) y = 4x + 5
B) y = 4x
C) y = 3x
D) y = 5x - 4

Question

Quizplus · Accepted Answer

To find the slope of the line passing through (2,13) and (5,25), we use the formula:

m = (y2 - y1) / (x2 - x1)

m = (25 - 13) / (5 - 2)

m = 12 / 3

m = 4

Since the line passing through the origin is parallel to this line, it will also have a slope of 4. Use the point-slope form of the equation of a line, we can write the equation as:

y - 0 = 4(x - 0)

y = 4x

Thus, the answer is B.

Find an Equation of the Line Passing Through the Origin