Equations of Parallel and Perpendicular Lines Answers

A line parallel to the graph of the line would have a slope of [___].

The line perpendicular to the line y = –8 is [___].

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is [___].

Which lines are parallel to the graph of 4x – y = 6? Check all that apply.x – 4y = –12y – 2 = –4(x + 1)y + 1 = 4(x – 2)y = 4x + 11y = x – 38x – 2y = 6

y = [___]x + [___]

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is [___].

Are the lines perpendicular?no, because the slopes of the lines are equalno, because the slopes of the lines are not opposite reciprocalsyes, because the slopes of the lines are equalyes, because the slopes of the lines are opposite reciprocals

Is triangle ABC a right triangle?no, because none of the slopes of the line segments forming the legs are opposite reciprocalsno, because none of the slopes of the line segments forming the legs are equalyes, because BC is perpendicular to ACyes, because AB is perpendicular to AC

A quadrilateral has vertices E(–4, 2), F(4, 7), G(8, 1), and H(0, –4). Which statements are true? Check all that apply.The slope of EH is .The slopes of EF and GH are both .FG is perpendicular to GH.Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.Quadrilateral EFGH is a rectangle because all angles are right angles.

For which value of a are the graphs of –4 = 3x + 6y and ax – 8y = 12 parallel?a = –4a = a = a = 2

Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.