Find the equation of a line with the properties given. Write the equation in the form indicated.
-Through (0, 0) and parallel to the line through the points (9, -8) and (-8, 7); standard form
A) 15x + 17y = 0
B) 17x - 15y = 31
C) -17x + 15y = 0
D) -15x + 17y = -1

Question

Quizplus · Accepted Answer

The slope of the line through (9, -8) and (-8, 7) is calculated as (7 - (-8)) / (-8 - 9) = 15 / -17. A line parallel to this line will have the same slope, -15/17. Since it passes through (0, 0), its equation in slope-intercept form is y = (-15/17)x. Converting to standard form, we multiply both sides by 17 to eliminate the fraction, resulting in 17y = -15x, or 15x + 17y = 0.

Find the Equation of a Line with the Properties Given