Alg 1: Equations of Parallel and Perpendicular lines

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

8.EE.B.6, 8.EE.C.8B

Standards-aligned

CHRISTOPHER CAVIN

Used 7+ times

FREE Resource

18 Slides • 13 Questions

Alg 1: Equations of Parallel and Perpendicular lines

Multiple Choice

y=2x+1

6x-3y=17

The lines are

parallel

not parallel

They were parallel.

They had the same slope.

$y=2x+1$ slope is 2

6x-3y=17

slope is

-\frac{a}{b}=-\frac{6}{-3}=2

y-intercepts are different -

1\ and\ -\frac{17}{3}

Multiple Choice

Write the equation, in slope-intercept form, of the line that goes through $\left(-3,2\right)$ and is parallel to the line $y=\frac{4}{7}x+\frac{5}{7}$

$y=\frac{5}{7}x$

$y=\frac{4}{7}x+\frac{26}{7}$

$y=-\frac{2}{3}x+\frac{5}{7}$

$y=\frac{4}{7}x-\frac{12}{7}$

Multiple Choice

The lines $y=\frac{2}{3}x-8$ and $y=\frac{3}{2}x-12$ are

parallel

perpendicular

neither

They were neither.

They had reciprocal slopes $\left(\frac{3}{2}\ and\ \frac{2}{3}\right)$ but they were not OPPOSITE reciprocals. Must be both to be perpendicular.

Multiple Choice

The two lines $5x-7y=11$ and $7x+5y=23$

parallel

perpendicular

neither

They are perpendicular.

They are in standard form $\left(ax+by=c\right)$ so the slope of each is $-\frac{a}{b}$ .

One has a slope of

\frac{5}{7}

and the other is

-\frac{7}{5}

. They are opposite reciprocals. So they are perpendicular.

Multiple Choice

If two lines are parallel their slopes are ____________

the same.

negative reciprocals of each other.

Multiple Choice

If two lines are perpendicular to each other their slopes are ____________

the same.

negative reciprocals of each other.

Multiple Choice

Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12

YES

Multiple Choice

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

YES

Multiple Choice

Are these lines parallel?
y = 12x + 4
y = 12x +14

YES

Multiple Choice

Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3

y = (-3/5)x + 2

y = (-3/5)x -2

y = (3/5)x + 2

y = (5/3) + 2

Multiple Choice

Write an equation of a line that passes through the point (-2,3) and is parallel to the line x = 4

y = -2

y = 2

x = 2

x = -2

Multiple Choice

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

y = -2x - 24

y = -2x + 12

y = -2x + 24

y = (1/2)x - 12

Multiple Choice

Write an equation of a line that passes through the point (-2,3) and is perpendicular to the line x = 4

y = 3

x = -3

y = -3

x = 3

Alg 1: Equations of Parallel and Perpendicular lines

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