Unit 4 Review 1 Linear Equations

Unit 4 Review

Linear Equations

Slope can be written as

• m = rise/run

• m = y₁ - y₂ / x₁ - x₂

Multiple Choice

What is the slope of all horizontal lines?

• 0

• undefined

• 1

• -1

Multiple Choice

Find the slope given the points (2, −7) and (−1, 6).

• -13/3

• 13/3

• 0

• 2/3

Multiple Choice

Find the slope given the points (-2,-9) and (-1,-3).

• 4

• -1/6

• -6

• 6

Multiple Choice

Determine the slope.

• m=1/7

• m=-1/7

• m=-7

• m=7

Multiple Choice

What is the slope?

• Positive

• Negative

  Negative

• Zero

• Undefined

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Multiple Choice

The line pictured has a(n) ______ slope.

• Positive

• Negative

• Undefined

• Zero

Multiple Choice

Find the slope.

• ¹/₂
• ^-1/₂
• 2
• -2

Multiple Choice

Find the slope of the line.

• Undefined

• 0

• 1

• -1

Multiple Choice

Find the slope

• -5/3

• -3/5

• 5/3

• 3/5

Multiple Choice

Find the slope of the line.

• -2

• 2

• -1

• 1

Multiple Choice

Find the slope:

• 3/4

• 4/3

• -3/4

• -4/3

Horizontal & Vertical Lines

• The equation of a vertical line is always written as x = a , where a represent the line's x-intercept.

• The equation of a horizontal line is always written as y = a, where a represents the line's y-intercept.

Multiple Choice

Which type of line runs parallel to the x-axis?

• Horizontal line

• Vertical line

• Both

• Neither

Multiple Choice

Which type of line runs parallel to the y-axis?

• Horizontal line

• Vertical line

• Both

• Neither

Multiple Choice

What is the equation of this line?

• x=5

• y=5

• y=5x

• x=-5

Multiple Choice

What is the equation of the line?

• y = 0

• y = 1

• y = 2

• x = 1

Multiple Choice

Which of the following would be graphed as a horizontal line?

• y = -4

• x = 7

• y = 3x-4

• None of the above

Multiple Choice

Vertical or horizontal?

Slope of 0

• vertical

• horizontal

• neither

Multiple Choice

Vertical or horizontal?

y = -6

• vertical

• horizontal

• neither

Multiple Choice

Vertical or horizontal?

x = 4

• vertical

• horizontal

• neither

Graphs of Linear Equations

• Make sure the equation is in Slope Intercept Form: y = mx + b

• Graph or find the the y-intercept. This is always the b.

• Use the slope of the line to create more points or find the slope. The slope is always the m. Remember slope is rise/run.

Multiple Choice

Which graph represents y = 3x?

Multiple Choice

Which is the graph of the equation y = -2x + 1?

Multiple Choice

Which graph best represents the equation y = -3x + 4?

Multiple Choice

Which could be the graph of the equation y = 1/3x - 2?

Multiple Choice

What is the linear equation in slope-intercept form?

• y=1/2x+10

• y=2/4x+20

• y=10/20x+20

• y=2x+10

Multiple Choice

What is the equation by looking at this graph?

• y= x + 3

• y= -x + 2

• y= 2x + 2

• y= x + 2

Multiple Choice

What is the slope in the equation:  y=4x+3

• 3
• 4x
• 4
• x

Multiple Choice

What is the y-intercept in the following equation: y=-4x-5

• -4

• -4x

• 5

• -5

Multiple Choice

Write the equation for the line.

• y= -1x+3

• y= 4x+3

• y=1/4x+3

• y= -4x+3

Multiple Choice

_{What is the y-intercept of the line?}

• 1/2

• 1

• -1/2

• -1

Multiple Choice

What is the y-intercept for the given graph?

• -5

• 5

• 1

• -1

Multiple Choice

Write the equation of the line.

• y = -2/3x + 4

• y = 2/3x + 4

• y = 3/2x + 4

• y = -3/2x + 4

Multiple Choice

Write the equation of the line.

• y = -1/3x - 2

• y = 1/3x - 2

• y = 3x - 2

• y = -3x - 2

Multiple Choice

What is the equation of this line?

• y = 2x +2

• y = 2x -2

• y = -x + 2

• Cannot be Determined