Write the equation of the line that satisfies the given conditions. Express the final equation in standard form. contains the point (1, 4) and is parallel to the line x -8 y = 1
A) x -8 y = -31
B) -8 x - y = -12
C) -8 x --9 y = -12
D) x -8 y = 1
E) -8 x - y = 31

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope. The given line is in standard form, x - 8y = 1. To be parallel and pass through (1, 4), the new line must have the same "x" and "y" coefficients. Substituting (1, 4) into the equation x - 8y = C gives 1 - 8(4) = 1 - 32 = -31, so the equation is x - 8y = -31.

Write the Equation of the Line That Satisfies the Given