M8U4 ELO4B Smoot Review

M8U4 ELO4B Smoot Review

by Tonia Smoot

Standard: ELO 4B

Graph linear equations.

Graphing Linear Equations

Multiple Choice

What is the x-intercept of $$5x-10y=30$$  

• (-10, 0)

• (-6, 0)

• (6, 0)

• (3, 0)

Multiple Choice

#1 Which graph is correct for y = -x + 3?

• A
• B

Multiple Choice

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

Multiple Choice

Sketch the graph of a line with

x-intercept = -3

y-intercept = 2

Linear Graph

An equation whose graph is a line is a linear equation. You can plot points on a coordinate plane to graph a linear equation.

Example: y = -4x + 4.

Multiple Choice

Sketch the graph of a line with

x-intercept = -5

y-intercept = 1

Multiple Choice

Which graph represents $$2x-5y=-10$$  

Multiple Choice

Sketch the graph of a line with

x-intercept = 1

y-intercept = 3

Multiple Choice

#2 Which graph is correct for y = 3x - 4?

• A
• B

Multiple Choice

Sketch the graph of a line with

x-intercept = -4

y-intercept = -4

Multiple Choice

Which graph represents the table?

Multiple Choice

$$3x+2y=8$$   

Multiple Choice

What is the y-intercept of  $$8x+4y=-48$$  

• (0, 6)

• (0, -6)

• (0, 12)

• (0, -12)

Multiple Choice

$$3x+4y=0$$  

Multiple Choice

Which graph represents the equation $$y=4x-1$$  

Multiple Choice

$$x-y=4$$  

Multiple Choice

#3 Which graph is correct for y = ⅖x + 2?

• A
• B

Multiple Choice

$$4x-5y=-15$$  

Multiple Choice

Which graph represents the equation $$x+5y=5$$  

Multiple Choice

$$10x+y=-5$$  

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. 

Multiple Choice

$$2x-y=-5$$  

Multiple Choice

Which graph represents the table?

Multiple Choice

$$y=\frac{5}{3}x-3$$  

Multiple Choice

#4 Which graph is correct for y = -¾x + 1?

• A
• B

Multiple Choice

$$y=2x-5$$  

Multiple Choice

Which graph represents the equation $$y=-3x$$  

Multiple Choice

$$y=-\frac{1}{2}x+5$$  

Multiple Choice

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

4x - 10y = 20

• (4, 0)

  (0, -10)

• (5, 0)

  (0, 2)

• (5, 0)

  (0, -2)

• (4, 0)

  (0, -10)

Multiple Choice

$$y=\frac{6}{5}x-1$$  

Multiple Choice

Which graph represents $$y=\frac{1}{2}x+2$$  

Multiple Choice

$$y=-\frac{7}{2}x+5$$  

Multiple Choice

#5 Which graph is correct for y = ⅔x - 1?

• A
• B

Multiple Choice

$$y=-9x-4$$  

Multiple Choice

Which graph represents the table?

Multiple Choice

$$y=-4x+2$$  

Multiple Choice

What is the x-intercept of the graph?

• (5,0)

• (0,5)

• (0,4)

• (4,0)

Multiple Choice

$$y=-\frac{2}{3}x-1$$  

Multiple Choice

What is the x-intercept of $$5x-10y=30$$  

• x = -10

• x = -6

• x = 6

• x = 3

Multiple Choice

$$y=-\frac{3}{2}x-1$$  

Multiple Choice

#6 Which graph is correct for y = -2x +4?

• A
• B

Multiple Choice

$$y=-7x+4$$  

Multiple Choice

What is the y-intercept of  $$8x+4y=-48$$  

• y = 6

• y = -6

• y = 12

• y = - 12

Multiple Choice

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

Multiple Choice

What is the slope of the following equation:

$$y=\frac{2}{3}x-5$$    

• $$\frac{2}{3}$$  

• $$5$$  

• $$-5$$  

• $$2$$  

Multiple Choice

#7 Which graph is correct for y = x - 4?

• A
• B

Multiple Choice

What is the y-intercept of the following equation: 

$$y=x-4$$  

• 1

• -1

• 4

• -4

Multiple Choice

What is the y-intercept?

• (0,15)

• (3,0)

• (15,0)

• (0,3)

Multiple Choice

What is the slope of the following equation:


$$y=-3x$$  

• $$\frac{1}{3}$$  

• $$-\frac{1}{3}$$  

• $$3$$  

• $$-3$$  

Multiple Choice

#8 Which graph is correct for y = -¼x + 3?

• A
• B

Multiple Choice

What is the y-intercept of the following equation:

$$y=x$$   

• 1

• 0

• -1

• x

Multiple Choice

Which graph represents $$2x-5y=-10$$  

Multiple Choice

What is the slope of the following equation:


$$y=\frac{x}{8}-3$$  

• $$-3$$  

• $$3$$  

• $$\frac{1}{8}$$  

• $$8$$  

Multiple Choice

#9 Which graph is correct for y = 4x?

• A
• B

Multiple Choice

What is the x-intercept?

• (-2,0)

• (0-6)

• (0,-2)

• (-6,0)

Multiple Choice

#10 Example:  Convert x + 2y = 4 to slope intercept form and then graph.

• Got it
• I'm confused

Multiple Choice

Which graph represents the equation $$x+5y=5$$  

Multiple Choice

#11 Example:  Convert 3x - 2y = -6 to slope intercept form and then graph.

• Got it
• I'm confused

Multiple Choice

What is the y-intercept?

• (2,0)

• (0,2)

• (0,-2)

• (-2,0)

Multiple Choice

What type of slope does the following graph have?

• Postive
• Negative
• Zero Slope
• Undefined

Graphing an Equation

You need only 2 points to graph a line. You can choose a value for x, and then evaluate for y.

Multiple Choice

What type of slope does the graph have?

• Zero
• Undefined
• Negative
• Positive

Make a Table of Values or T-Chart

Choose a value for x, plug in, and solve for y. Do this 2 or 3 times. Then, use the points to graph your equation.

Multiple Choice

what is the equation of the line shown

• y = 2
• x = 2

Build a t-chart

Multiple Choice

What is the equation of the graph?

• y = - 3
• x = -3

Graph

Plot each ordered pair. Connect with a line.

Fill in the Blank

If x = 2, in the equation y = 3x - 5, what is the value of y?

Fill in the Blank

If x = 0, in the equation y = -2x - 4, what is the value of y?

Fill in the Blank

If x = -2, in the equation y = -3x - 10, what is the value of y?

Fill in the Blank

If x = -6, in the equation y = 5x + 7, what is the value of y?

Fill in the Blank

If x = 4, the the equation x + y = -12, what is the value of y?

Fill in the Blank

If x = -3, the the equation -2x + y = 15

Fill in the Blank

If x = 4, the equation y = -5x, what is the value of y?

Fill in the Blank

If x = 5, the the equation 5x + y = 20, what is the value of y?

Fill in the Blank

If x = 1, in the equation x + 3y = 10, what is the value of y?