Find an equation for the line with the given properties.
-Parallel to the line x - 5y = 5; containing the point (0, 0)
A) y = 15 x + 5
B) y = - 45
C) y = 15 x
D) y = - 15 x

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line x - 5y = 5 can be rewritten in slope-intercept form (y = mx + b) as y = (1/5)x - 1, where the slope (m) is 1/5. A line parallel to this must also have a slope of 1/5. The line passing through (0, 0) with a slope of 1/5 is y = (1/5)x, which simplifies to y = 0.2x. None of the provided options exactly match this, but option C, y = 15x, seems to be a typographical error meant to represent a line parallel to the given line. However, based on the correct calculation, none of the options accurately reflect a line parallel to x - 5y = 5 and passing through (0,0). It appears there has been a misunderstanding in the calculation or transcription of the options. The correct equation, based on the slope of 1/5 and passing through (0,0), should be y = (1/5)x, which is not listed among the options provided.

Find an Equation for the Line with the Given Properties