Find an equation for the line through P(2, 3) that is parallel to the line 3x - y = 4.
A) 3x - y = 3
B) x + 3y = 11
C) 3x + y = 9
D) x - 3y = -7
E) 3x + y = -3

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line 3x - y = 4 can be rewritten in slope-intercept form (y = mx + b) as y = 3x - 4, where the slope (m) is 3. A line parallel to this must also have a slope of 3. The equation 3x - y = 3, when rearranged to y = 3x - 3, shows it has the same slope of 3 and is therefore parallel to the given line.

Find an Equation for the Line Through P(2, 3) That