Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

Think

Consider the following equation.

f(x)=x

The equation does the following shift

3f(x)-2

What changes do you see?

Ink
f(x) = x 3f(x)-2

​On Your Notecard write your thoughts.

Sentence Stems
f(x)=x is called the______________
The new graph will be ____________
The new graph will be shifted______________
The new equation is _________________________

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Today

​The student will

Write an equation of a line that is parallel and/or perpendicular to a given line.

Parallel Lines

​Have

THE SAME SLOPES

but different y-intercepts

Multiple Select

Which equations are parallel to the line y=5x-3?

Select 2 correct answers.

• y=5x+7

• $$y=\frac{1}{5}x+1$$

• y=-5x

• y-6=5(x+1)

Write the equation of the line

​parallel to y=3x-4 and has a y-intercept of 5.

Math Response

Write the equation of the line parallel to y=3x-4 and has a y-intercept of 5.

Type answer here

Correct Answer: y=3x+5

Deg^°

Rad

Write the equation of the line

Dropdown

In point-slope form the equation would be ​

Select answer

In slope-intercept form the equation would be ​

Select answer

Perpendicular Lines

​Have

OPPOSITE RECIPROCAL SLOPES

Match

Match the following slopes to their opposite reciprocal

• 5

• $$\frac{3}{4}$$

• $$-7$$

• $$-\frac{3}{2}$$

• $$-\frac{1}{5}$$

• $$-\frac{4}{3}$$

• $$\frac{1}{7}$$

• $$\frac{2}{3}$$

Write the equation of the line

perpendicular to y=3x-4 and that has the same y-intercept

Math Response

Write the equation of the line that is perpendicular to y=3x-4 and has the same y-intercept.

Type answer here

Correct Answer: y=-\frac{1}{3}x-4

Deg^°

Rad

Write the equation of the line

Dropdown

In point-slope form the equation would be ​

Select answer

In slope-intercept form the equation would be ​

Select answer

DOL