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Find the slope and the y-intercept
1
4 y =9x The slope is? The y-intercept is (0, ? ).
2
(1/2)y = 4 – 9x  y = -18x + 8
Slope = -18 and y-intercept is (0, 8)
For the graph, find the average rate of change as a reduced fraction. Also state the appropriate units (do not
abbreviate). The rate of change is? The appropriate units are pages per ?
400
Pages
0
10 Days
Average rate of change = Rise/run = 6/8 = 3/4
Write an equation of the line containing the given point and parallel to the given line, express the answer in the
form =mx + b (5,8); x + 9y = 2 The equation of the line is y = ?
The required line is x + 9y = k. This contains (5, 8)  5 + 9(8) = k  k = 77
The line is x + 9y = 77 or y = (-x + 77)/9 = (-1/9)x + (77/9)
Graph the equation using the slope and the y-intercept y =
Graph:
1
x+3
8
Find an equation of the line having the given slope and containing the given point.
M = -2, (5,7) The equation of the line is y = ? Simplify the answer type the answer in the form y = mx + b
using integers or fraction.
The equation is y – y1 = m(x – x1)  y – 7 = 2(x – 5)  y = 2x - 3
Use the graph to find the following, f(-2) = ? what is the domain? {xl ? }
Determine all the x-values such that f(x) = -4 x = ? use a coma to separate answers as needed.
10
-5
y
2
x
10
-2
-6
-10
Please submit the graph in the correct form. Otherwise from the given figure, the answers may go wrong.
High Tech Graphics bought a fax machine for $750. The fax machine depreciates at a rate of $25 a month.
Find a function F that can be used to determine the value of the fax machine t months after purchase.
F(t) = ?
The function is F(t) = 750 – 25t
Graph the equation by plotting the points y = -3
This is a line parallel to the x-axis and passing through the points whose y- value is 3
Let the points be (0, 3) and (3, 3)
Graph:
Graph the function f(x) = 2 – lxl
Graph:
Find the domain of the function g(x) =
8
8  5x
The domain is {x | 8 – 5x ≠ 0}  {x | x ≠ 8/5}
Find the slope-intercept equation of the line that has the given characteristics, slope 7.4 and y-intercept (0, -8)
The slope-intercept equation y = ?
The equation is y = mx + b  y = 7.4x - 8
Find the slope and y-intercept of the line, write the fractional answer in lowest terms
4
9
Y=- xthe slope is? The y-intercept is (0,?) type an integer or a fraction
5
7
Slope is -4/5 and the y-intercept is (0, -9/7)
Find the slope of the line, the slope of the line is m= ? Simplify your answer, type an integer or a fraction. Type
N if the slope is undefined.
10
y
5
23
x
-10
10
-3
-10
Slope = Rise/run = -3/1 = -3
[If this answer is not correct, please submit the actual graph.]
Determine whether the graphs of the two equations are perpendicular?
y = 6x – 6
6y= 5 – x
Yes or No
Slope of the first line is 6
The second equation is y = (-x + 5)/6 = (-1/6)x + (5/6) and its slope is -1/6
Since 6 * -1/6 = -1, yes, the lines are perpendicular
Find the slope, if it exists, of the line containing the pair of points (-15.1, 17.2) and (-12.6, 11.1)
The slope m = ? Simplify the answer type an integer or a fraction.
m = (y2 – y1)/(x2 – x1) = (11.1 – 17.2)/(-12.6 + 15.1) = -2.44
In 1992, the life expectancy of males in a certain country was 70.2 years, in 1999 it was 72.4 years. Let E
represent the life expectancy in year t and let t represent the number of years since 1992.
The linear function E(t) that fits the data is
E(t) = ?t + ? round to the nearest tenth
Use the function to predict the life expectancy of males in 2003
E(11) =?
Round to the nearest tenth
Let E(t) = at + b
E(0) = b = 70.2 and E(7) = 7a + 70.2 = 72.4  a = (72.4 – 70.2)/7 = 2.2/7 = 11/35
The function is E(t) = (11/35)t + 70.2  E(t) = 0.31t + 70.2
E(11) = 0.31(11) + 70.2 = 73.61
Given the function k described by k(x) = 4x, find each of the following
(a) k(-1)
(b) k(5)
(c) k(26)
K(-1) = ?
K(5) = ?
K(26) = ?
(a) k(-1) = -4 (b) k(5) = 4 * 5 = 20 (c) k(26) = 4 * 26 = 104
Find an equation of the line containing the given pair of points (-7,-9) and (-5,-2)
The equation of the line is y = ? Simplify your answer use integers or fractions for any numbers in the
expression.
Slope = m = (2 + 9)/(-5 + 7) = 11/2
The equation of the line is y – y1 = m(x – x1)
 y + 9 = (11/2)(x + 7)  y = (11/2)x + (59/2)
Find the indicated outputs for f(x) = 5x 2 -4x.
f(0) = ?
f(-1) = ?
f(2) = ?
Plug in the numbers for x and find y.
f(0) = 0, f(-1) = 5(-1)^2 – 4(-1) = 9, f(2) = 5(2^2) – 4(2) = 12
d
gives the pressure, in atmospheres (atm), at a depth d in the sea (d is in feet).
33
Note that p(0) = 1 atm, p(33) = 2, and so on. Find the pressure at 130 feet.
The pressure at 130 feet is ? atm. Type an integer or a simplified fraction
The function, p(d) = 1 +
p(130) = 1 + (130/33) = 163/33 atm
Use the intercept to graph the equation x + 2y = 4
When x = 0, y = 2 and when y = 0, x = 4
The intercepts are (0, 2) and (4, 0)
Graph:
Determine whether the graphs of the two lines are parallel
y + 1 = 9x
6x –y = -1
Yes or No
Slope of the first graph is 9 and that of the second is 6; 9 ≠ 6
 The lines are not parallel.