Graphing Linear Equations Unit Review

Presentation

•

Mathematics

•

9th Grade

•

Medium

•

CCSS

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

Standards-aligned

Vanessa Collins

Used 24+ times

FREE Resource

17 Slides • 24 Questions

Unit Review - Graphing Linear Equations

Before we graph two lines, lets make sure you can graph one line properly!

I should be able to

Graphing a Point

Always written in the form (x,y)

The x-value tells us to

move left or right

The y-value tells us to

move up or down

Graph (4,6)

Graphing

Graph the following points:

(7, -3)

(-4, 5)

(8, 6)

(-3, -9)

Drag and Drop

The coordinates of point P are

, point N are

, S are

and M are

Drag these tiles and drop them in the correct blank above

(2,-3)

(6,0)

(-9,0)

(7,-9)

(-3,2)

(0,6)

(-9,7)

(0,-9)

Identifying Basic Slopes

Slope: the 'steepness' of a line.

There are FOUR basic categories for SLOPES

POSITIVE SLOPE

NEGATIVE SLOPE

SLOPE OF ZERO

UNDEFINED SLOPE

Match

Match the Graph with its slope.

Negative

Positive

Zero

Undefined

Remember, you can use rise/run to find the slope of any graph.

Some text here about the topic of discussion.

slope of a graph

Multiple Choice

Find the slope. Determine if the line is negative or positive. Then, count rise over run.

3/4

4/3

-3/4

-4/3

Multiple Choice

What is the slope of this line?

$slope=\frac{\text{rise}}{\text{run}}$

$\frac{1}{4}$

$-\frac{1}{4}$

$\frac{4}{1}$

$-\frac{4}{1}$

We talked about how to use this formula to find the slope between any 2 points.

You should be able to memorize this for the test!

Some text here about the topic of discussion.

Slope formula

Multiple Choice

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

Multiple Choice

Find the slope of the line that passes through the points

(2, 4) and (6, 12).

$\frac{1}{2}$

$-\frac{1}{2}$

-2

Remember, "m" is the same as the constant or the unit rate. In this equation, it is the "slope".

The y-intercept determines where the line starts on coordinate plane and if it is a proportional relationship or not.

Slope-intercept form

Multiple Choice

What does the "m" variable represent in the linear equation y=mx+b

y-intercept

slope

the initial value

Multiple Choice

What is the correct equation for the given information?

Slope = 3

Y-Intercept = 2

y = 2x + 3

y = 1/2x + 3

y = 3x - 2

y = 3x + 2

Graphing

Graph:

$y=\frac{2}{3}x-4$

Hint: Drag one point to the y-intercept first. Then drag the other point after counting the slope.

Find the Equation of the Line.

Things to look for:
Is the line positive or negative? (is it going up or down?)
Look at the y-intercept, where does it cross the y-axis?

Multiple Choice

Write the equation of the line.

$y=-\frac{2}{3}x+4$

$y\ =\ \frac{2}{3}x+4$

$y=-\frac{3}{2}x+4$

$y=\frac{3}{2}x+4$

Drag and Drop

Given:

y=\frac{3}{5}x

, the slope is

and the y-intercept is

Drag these tiles and drop them in the correct blank above

Math Response

Write the equation of the line in Slope-Intercept Form. ( $y=mx+b$ )

Type answer here

Deg^°

Rad

X and Y Intercepts

Linear equations have x and y-intercepts. The x-intercept is the x-coordinate of the point at which the graph crosses the x-axis. The y-intercept is the y-coordinate of the point at which the graph crosses the y-axis.

X and Y intercepts

x-intercept: What x is when y is 0? Where does the line cross the x-axis?
y-intercept: What y is when x is 0? Where does the line cross the y-axis?

Multiple Choice

What is the x-intercept of the graph?

(5,0)

(0,5)

(0,4)

(4,0)

Multiple Choice

What is the y-intercept?

(0,15)

(3,0)

(15,0)

(0,3)

Drag and Drop

The line graphed has an x-intercept of

and a y-intercept of

Drag these tiles and drop them in the correct blank above

(1,0)

(0,-4)

(-4,0)

(0,1)

(1,-4)

(-4,1)

Standard Form

Multiple Choice

Which of these represents standard form?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

Multiple Choice

What is the x-intercept? (set y=0)

$4x-2y=-8$

-2

-8

Multiple Choice

What is the y-intercept? (set x=0)

$4x-2y=-8$

-2

-8

Solving equations for y

Get y by itself (shown in the next slide)
Solving for y will give you an equation in the form y = mx + b
Slope of the line is m (the coefficient on x)
The y-intercept is b (the constant term)

In this equation, what is the slope? What is the y-intercept?

Multiple Choice

what is the first step to solve for slope intercept form on

-x + 4y = 11

subtract 11 from both sides

add x to both sides

subtract x from both sides

put in th y=

Multiple Choice

Convert the standard form equation into slope-intercept form.
x + 5y = -25

y = -⅕x - 5

y = -x - 5

x = 20

y = 27, 239, 430

Math Response

Convert to slope intercept form:

$10x-6y=30$

Type answer here

Deg^°

Rad

Match

Match the following

The coordinate where the function crosses the x-axis. At this point, y=0.

The coordinate where the function crosses the y-axis. At this point, x=0.

Measure of how STEEP a line is, can be found using rise/run

Slope-intercept form

Standard Form

x-intercept

y-intercept

SLOPE

y=mx+b

Ax+By=C

Poll

From 1-4, how comfortable are you with graphing a linear equation?

1- I have no idea whats going on

2-I have an idea but still need alot of practice

3-I feel comfortable with it

4-Im ready to teach this to someone else.

Unit Review - Graphing Linear Equations

Before we graph two lines, lets make sure you can graph one line properly!

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Graphing Linear Equations Unit Review

Unit Review - Graphing Linear Equations

I should be able to

Graphing a Point

Identifying Basic Slopes

POSITIVE SLOPE

NEGATIVE SLOPE

SLOPE OF ZERO

UNDEFINED SLOPE

Find the Equation of the Line.

X and Y Intercepts

X and Y intercepts

​Standard Form

Solving equations for y

Unit Review - Graphing Linear Equations

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Popular Resources on Wayground

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Standard Form