Linear Equations Flashcards

1
Q

What is the equation format for slope-intercept equations?

A

y=mx + b

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2
Q

what variable (letter) defines the slope of a linear equation?

A

m

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3
Q

what variable (letter) defines the y-int in a linear equation?

A

b

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4
Q

Is X my input or output?

A

input
(what we are inputting into the equation)

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5
Q

Is Y my input or output?

A

output (result)

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6
Q

what is the shape of a linear equation?

A

straight line

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7
Q

If my line is decreasing, then is my slope (m) positive or negative?

A

negative (-m)

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8
Q

If my slope is increasing, then is my slope (m) positive or negative?

A

positive (m)

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9
Q

what is a y-int?

A

The Initial Value which is where the equation line crosses the y axis of a graph (crosses at x=0)

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10
Q

what is the equation used to find a slope?

A

y2-y1
———
x2-x1

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11
Q

what does slope (m) determine in a line?

A

the steepness

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12
Q

If x=3, and y=5, how do I write these as a point?

A

(3,5)

(x,y) remember x goes on the left and y goes on the right

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13
Q

What happens when I multiply two negative numbers?

A

they become positive

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14
Q

what happens when I divide two negative numbers?

A

they become positive

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15
Q

How do I convert 15% into a decimal?

A

1) Rewrite 15% as a whole number and add a decimal —> 15.0
2) Shift the decimal over to the left twice
15.0 —> .15

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16
Q

How do I convert .15 into a percent?

A

1) Shift the decimal to the right twice
.15 ——-> 15.0
2) Add a percent sign
15.0 ——-> 15%

17
Q

what is another way of converting a percent into a decimal

A

divide by 100

Ex: 15% —-> 15/100 —-> .15

18
Q

If you divide a negative by a positive, what do you get back?

A

Negative number