Math 3A Cycle Q11 Linear Equations

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Math 3A Cycle Q1-1Linear Equations

• Review Activity

2
Slippery Slopes
Intercept This
Its a Graph
Its all in the Equation
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3

10 points
Consider a graph of the linear equation y -½
x 2 . Which is the slope of a line
perpendicular to it?



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4
A N S W E R
10 points
2 is the negative reciprocal of 1/2
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5

20 points
The table given shows a relationship between two
heart rates. What is the slope of the line which
connects these ordered pairs if you were to draw
a line connecting them.
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6
A N S W E R
20 points
Rise 7.5 in the exercise HR for every run of 10
in the max HR. This means the slope is ¾ .
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7

30 points
What is the equation of a line which passes
through (4,-2) and has a slope of ¾?
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8
A N S W E R
30 points
In point-slope form (y2) ¾ (x-4) y2 ¾ x
3 y ¾ x 5 in slope-intercept
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9

10 points
What are the x intercept and the y intercept for
the graph of the following linear equation?
2x 7y 21
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10
A N S W E R
10 points
X int 10.5 y int 3

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11

20 points
True or False? Why? The line y 5x 2 has a y
intercept 2.
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12
A N S W E R
20 points
FALSE! The y intercept is not 2, it is 2 because
this is the constant of the linear equation.

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13

30 points
How many times larger is the y intercept for the
line 4x 3y 24 when compared to the line y
9x 2
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14
A N S W E R
30 points
8 is 4 times larger than 2!
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15

10 points
y
l
What is the equation of this line?
x
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16
A N S W E R
10 points
y ½ x ½

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17
20 points
y
l
Write an equation of a line perpendicular to l
and passing through (0,2).
x
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18
A N S W E R
20 points
y 1x 2

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19
30 points
y

l
x
Explain why the equation for l is not y x1
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20
A N S W E R
30 points
l is horizontal and must have a slope equal to
zero, but yx1 has a slope of 1.

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21

10 points
y
Write the equation of a line connecting these two
points on the graph.
x
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22
A N S W E R
10 points
y 4/2 x 1 which is really the same as y 2x
1

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23

20 points
A line passes through the points whose ordered
pairs are (3,-1) and (3, 5). What is the
equation of this line?
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24
A N S W E R
20 points
It is a vertical line and the x value is always
3, so its equation is x3.

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25

30 points
Write an equation of a line which is satisfied by
the tables values.
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26
A N S W E R
30 points
It has a slope of -3/2 and passes through (3,-1),
so its equation could be y1 -3/2(x-3) in point
slope form. After getting it in slope-intercept
form it would be y -3/2x 7/2 .
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