Chapter 5 Linear Equations Flashcards

1
Q

general description of slope

A

rise over run

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2
Q

how to calculate slope

A

change in y (y2 - y1) divided by the change in x (x2 - x1)

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3
Q

slope intercept form of the line

A

y = mx + b

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4
Q

Which letter in the equation represents slope?
y = mx + b

A

y = mx + b
m is the slope

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5
Q

Which letter in the equation represents the y-intercept?
y = mx + b

A

y = mx + b
b is the y-intercept

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6
Q

Point-slope equation of a line

A

y - y1 = m (x - x1)

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7
Q

In the equation below what are x1 and y1?
y - y1 = m (x - x1)

A

(x1, y1) is a point on the line

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8
Q

standard form of the equation of a line

A

Ax + By = C

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9
Q

in the equation of the line Ax + By = C, what are limitation on the values of A, B, and C

A

A, B, and C cannot be fractions or decimals, and A must also be greater than or equal to 0.

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10
Q

If lines are parallel, what is true about their slope?

A

slopes are equal

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11
Q

If lines are perpendicular, what is true about their slope?

A

slopes are opposite reciprocals of each other

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12
Q

What is the equation for direct variation?

A

y = kx

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13
Q

What shows the relationship between two changing quantities?

A

rate of change (examples: miles per hour or temperature change per minute)

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14
Q

True or False: the graph of a direct variation will always pass through (0,0)

A

True

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15
Q

where the graph of a line crosses the y-axis

A

y-intercept

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16
Q

where the graph of a line crosses the x-axis

A

x-intercept