Module 6: Graphing Module

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Mathematics

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9th - 11th Grade

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Hard

Thomas HS]

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11 Slides • 18 Questions

Module 6: Graphing Module

By Thomas HS]

This is your last chance to review before the exam tomorrow.

Some text here about the topic of discussion.

Slope-intercept Form

Multiple Choice

What is the slope in the equation: $y=3x+6$ ?

m = 3

m = 6

m = $\frac{3}{6}$

m = 2

Multiple Choice

What is the y-intercept in the equation: $y=-\frac{2}{3}x+8$ ?

b = -3

b = $-\frac{2}{3}$

b = -2

b = +8

Multiple Select

Which equation below is written in slope-intercept form?

$y=4x+7$

$2x+4y=8$

$y=-5x+2$

$x\ =\ 9y-5$

Draw

Graph $y=\frac{3}{4}x-5$

Multiple Choice

What is the equation of the graph?

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

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

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

$y=-5x+2$

Multiple Choice

What is the equation of the graph?

$y=-6x+2$

$y=2x+6$

$y=6x+2$

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

Remember, this is where you cover up x, then solve for y.

Then cover up y, and solve for x.

Standard Form

Remember, this is where you cover up x, then solve for y.

Then cover up y, and solve for x.

Standard Form

Multiple Choice

What is the x-intercept, given the equation.

$2x+4y=8$

x = 4

x = 2

x = 8

y = 4

Multiple Choice

What is the y-intercept, given the equation.

$-3x+y=9$

y = -9

x = 9

y = -3

y = 9

Multiple Choice

What is the x-intercept and y-intercept for the equation?

$-2x+4y=12$

x-intercept= 6

y-intercept = -3

x-intercept= 6

y-intercept = 3

x-intercept= -6

y-intercept = 3

x-intercept= -6

y-intercept = -3

Multiple Choice

What is the x-intercept and y-intercept for the graph?

x-intercept= 4

y-intercept = 6

x-intercept= 6

y-intercept = 4

x-intercept= -6

y-intercept = 4

x-intercept= -4

y-intercept = -6

Multiple Choice

Given the graph, what is the equation, written in standard form?

$-3x-2y=-6$

$-3x+2y=6$

$3x-2y=6$

$3x+2y=6$

Draw

Graph $3x-2y=6$

Point-Slope Form

y - y₁ = m (x - x₁)

m = slope ( x₁ , y₁)

*Remember to switch signs for ( x₁ , y₁)

Example: y - 5 = 4 (x + 1)

Some text here about the topic of discussion

Switch the signs.....

x₁= -1

y₁= +5 (-1, 5)

Point (x₁,y₁)

m = 4

Slope

Multiple Choice

Given the equation in point-slope form, what is x₁ =________?

$y+9=\frac{5}{2}\left(x-6\right)$

x₁= 9

x₁= 6

x₁= -6

x₁= 5

Multiple Choice

Given the equation in point-slope form, what is (x₁,y₁) ?

$y+10=-3\left(x-5\right)$

(-3)

(10, -3)

(10, -5)

(5, -10)

Multiple Choice

Given the graph, what is the equation in point-slope form?

y + 2 = -2 (x - 5)

y - 2 = -2 (x + 5)

y - 2 = 2 (x - 5)

y + 2 = 2 (x + 5)

Draw

Graph $y+1=-\frac{3}{5}\left(x-2\right)$

Last Part to go over....

Graphing Inequalities

Must know the signs verbally!

Less Than

<

Less Than or Equal

≤

Must know the signs verbally!

Greater Than

>

Greater Than or Equal

≥

Don't forget the type of line situation!

Draw

Graph $y<2x-4$

Draw

Graph $y\ge-\frac{5}{2}x+1$

Module 6: Graphing Module

By Thomas HS]

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Module 6: Graphing Module

Module 6: Graphing Module

Point-Slope Form

Example: y - 5 = 4 (x + 1)

Last Part to go over....

​Must know the signs verbally!

​Must know the signs verbally!

​Don't forget the type of line situation!

Module 6: Graphing Module

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Must know the signs verbally!

Must know the signs verbally!

Don't forget the type of line situation!