Parallel and Perpendicular Lines

Presentation

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Mathematics

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9th - 12th Grade

•

Medium

•

CCSS

8.EE.B.6, 8.EE.B.5, 6.NS.C.6A

Standards-aligned

Osman Özel

Used 29+ times

FREE Resource

14 Slides • 14 Questions

Parallel and Perpendicular Lines

A straight line has

slope
y-intercept

Slope (m)

shows steepness of the line
rise over run between two points
$m=\frac{rise}{run}$
slope of this line is $\frac{2}{3}$

Read the graph from left to right

Green line has a positive slope
Red line has a negative slope

Multiple Choice

What is the slope of the line ? Use points C and D and find rise over run.

$\frac{1}{3}$

$-\frac{1}{3}$

$3$

$-3$

Multiple Choice

What is the slope of the line ? Use points C and D and find rise over run.

$-2$

$2$

$3$

$-\frac{1}{2}$

y-intercept (b)

is the point where the line crosses the y-axis.
y-intercept of this line is at (0, -2)
b = -2

Multiple Choice

What is the y-intercept of the line?

-3

an equation can represent a straight-line

slope-intercept form of a line is $y\ =\ mx\ +\ b$
so, the equation of this line is $y=\frac{2}{3}x\ -\ 2$

Multiple Choice

slope-intercept form of a line is

$y=mx\ +\ b$

$y\ -\ y₁\ =\ m\left(x\ -x₁\right)$

$Ax\ +\ By\ =C$

$y=m\left(x\ -\ x₁\right)+y₁$

Parallel Lines

never intersect
have same slope
have different y-intercepts

Parallel Lines

equation of the blue line $y=\frac{2}{3}x\ +3$
equation of the green line $y=\frac{2}{3}x\ -2$
equations have the same slope: $\frac{2}{3}$

Multiple Select

Line w has the equation $y=\ -5x\ +1$ . Which of the following lines is parallel to line w? Select all that apply.

$y=\frac{1}{5}x\ +\ 3$

$y=-5x\ -4$

$y=-5x+3$

$y=x+5$

$y=-x-5$

Fill in the Blanks

Type answer...

Multiple Choice

Line f has the equation $y=-x\ +\ 3$ . What is the slope of any line that is parallel to line f?

-1

What if the equation is not in slope-intercept form? like $y\ -\ 2x\ =5$

Solve the equation for y
The slope of the line is +2 not (-2)

Multiple Choice

What is the slope of the line $y+7x=-15$

-7

-15

-1

What is opposite of a number?

Change the sign

Multiple Choice

What is opposite of $-\frac{1}{3}$ ?

$\frac{1}{3}$

$3$

$-3$

$-\frac{1}{3}$

What is the reciprocal of a number?

Flip it upside down.

Multiple Choice

What is the reciprocal of 7?

$\frac{1}{7}$

$-\frac{1}{7}$

$7$

$-7$

Opposite Reciprocal

change the sign
flip it upside down

Multiple Choice

What is the opposite reciprocal of $-\frac{4}{5}$

$\frac{4}{5}$

$\frac{5}{4}$

$-\frac{4}{5}$

$-\frac{5}{4}$

Perpendicular Lines

intersect each other at a 90 degree angle
have opposite reciprocal slopes

Perpendicular Lines

slope of green line is $\frac{2}{3}$
slope of blue line is $-\frac{3}{2}$

Multiple Choice

Line h and t are parallel. Line w is perpendicular to them. If the slope of line t is

-\frac{1}{3}

what is the slope of line h?

$-\frac{1}{3}$

$\frac{1}{3}$

$3$

$-3$

Not enough information to tell.

Multiple Choice

Line h and t are parallel. Line w is perpendicular to them. If the slope of line t is

-\frac{1}{3}

what is the slope of line w?

$-\frac{1}{3}$

$\frac{1}{3}$

$3$

$-3$

Not enough information to tell.

Multiple Select

Graph the following lines on desmos. Select the parallel lines.

lines p and q only

lines p, q and s only

lines p, q, and r only

all lines are parallel

Parallel and Perpendicular Lines

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