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Math! > Graphing Linear Equations > Flashcards

Graphing Linear Equations Flashcards

1
Q

What is the general form of a linear equation?

A

Ax + By = C

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2
Q

True or False: A linear equation can have variables raised to a power greater than one.

A

False

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3
Q

Fill in the blank: The slope-intercept form of a linear equation is _____

A

y = mx + b

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4
Q

What does ‘m’ represent in the slope-intercept form?

A

The slope of the line

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5
Q

What does ‘b’ represent in the slope-intercept form?

A

The y-intercept of the line

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6
Q

True or False: The slope of a vertical line is undefined.

A

True

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7
Q

What is the slope of a line that goes from the point (2, 3) to (4, 7)?

A

2

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8
Q

Multiple Choice: Which of the following is a linear equation? A) y = x^2 B) y = 3x + 4 C) y = sin(x)

A

B) y = 3x + 4

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9
Q

How do you find the x-intercept of a linear equation?

A

Set y = 0 and solve for x.

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10
Q

What is the x-intercept of the equation 2x + 4y = 8?

A

4

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11
Q

True or False: The graph of a linear equation is always a straight line.

A

True

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12
Q

Fill in the blank: The point where a line crosses the y-axis is called the _____

A

y-intercept

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13
Q

What is the slope of the line represented by the equation y = -3x + 2?

A

-3

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14
Q

Multiple Choice: What is the slope of a horizontal line? A) 0 B) 1 C) Undefined

A

A) 0

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15
Q

What is the standard form of a linear equation?

A

Ax + By = C, where A, B, and C are integers.

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16
Q

What is the slope of the line that passes through the points (1, 1) and (1, 5)?

A

Undefined

17
Q

Fill in the blank: The equation y = 4x + 1 has a slope of _____

A

4

18
Q

True or False: Two lines with the same slope are parallel.

A

True

19
Q

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

A

m = (y2 - y1) / (x2 - x1)

20
Q

What does it mean for two lines to be perpendicular?

A

Their slopes are negative reciprocals of each other.

21
Q

What is the slope of a line that is perpendicular to the line with a slope of 2?

A

-1/2

22
Q

Fill in the blank: The graph of the equation y = 0.5x + 3 has a y-intercept at _____

A

3

23
Q

Multiple Choice: If the slope of a line is 0, what is the nature of the line? A) Vertical B) Horizontal C) Diagonal

A

B) Horizontal

24
Q

What is the point-slope form of a linear equation?

A

y - y1 = m(x - x1)

25
Q

True or False: The slope of a line can be calculated using any two points on that line.

A

True

Math! (2 decks)

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