1.) Find the slope-intercept equation of the line that has the given characteristics. Slope 8
and y-intercept (0,9). The slope intercept equation is y=?
2.) Find the slope, if it exists, of the line containing a pair of points. (4,6) and (7,-7). The
slope m=? (Simplify your answer. Type an integer or a fraction. Type N if the slope is
3.) Write an equation of the line containing the given point and parallel to the given line.
Express your answer in the form y=mx+b. The equation of the line is y=? (Simplify your
answer. Type an integer or a fraction.)
-1/7 x + 30/7
4.) Determine whether the graphs of the two equations are perpendicular. y=4x-3 and
5y=2-x. Are the graphs of the two equations perpendicular? Yes or no.
5.) This I can't really explain because the graph shows a curvy line with three dots. Maybe
you'll know what that means so I'll give you the question anyway. Use the graph of the
function f to find f(0), f(1), and f(2). The graph shows a line that's curvy, but the three dots
are at (0,-5), (1,0) and (2,-3). In that order, the line continues to curve after that.
Ok, I think you answered this yourself!
F(0) = -5
F(1) = 0
F(2) = -3
6.) Graph the equation using the slope and y-intercept. y=1/9x+6.
The y intercept is (0, 6). It also goes through (9, 7)
7.) Find an equation of the line having the given slope and containing the given point.
m=-4,(4,5). The equation of the line is y=? (Simplify your answer. Type your answer in
slope-intercept form. Use only integers and fractions.
8.) Find the indicated outputs for f(x)=4x(to the 2nd power)-3x. f(0)=? f(-1)=? f(2)=?
F(0) = 0
F(-1) = 7
F(2) = 10
9.) The table lists data regarding the average salaries of several professional athletes in the
years 1991 and 2001. Table: Year: 1991, Average Salary: $262,000 Year: 2001, Average
Salary: $$1,450,000 a) Use the data points to find a linear function that fits the data. b)
Use the function to predict the average salary in 2005 and 2010. A linear function that fits
the data is S(x)=? (Let x=the number of years since 1990, and let S=the average salary x
years from 1990.) The predicted average salary for 2005 is $? (Round to the nearest whole
number.) The predicted average salary for 2010 is $? (Round to the nearest whole number.)
S(x) = 118800x + 143200
10.) Determine whether the graphs of each pair of lines are parallel. 3x+4=y and 2y=6x-7.
Are the graphs of the given equations parallel? Yes or no
11.) Find the intercepts and then use them to graph the equation. 2x+3y=6
Through (0, 2) and (3, 0)
12.) In 1920, the record for a certain race was 46.2 sec. In 1960, it was 45.8 sec. Let
R(t)=the record in the race and t=the number of years since 1920. a) Find a linear function
that fits the data. R(t)=? (Round to the nearest hundredth.) b) Use the function in (a) to
predict the record in 2003 and in 2006. (Round to the nearest hundredth). c) Find the year
when the record will be 45.23 sec (Round to the nearest year).
R(t) = -0.01t + 46.2
45.23 in year: 2017
13.) Find the slope of the line. The slope of the line is m=? (The graph shows a line with the
coordinates (0,2) and (1,-9). (Simplify your answer. Type an integer, improper or proper
fraction. Type N if the slope is undefined).
Confirm those points…
14.) Given the function h described by h(x)=10x, find each of the following. a) h(-7) b) h(9)
H(-7) = -70
H(9) = 90
H(23) = 230
15.) Find an equation of the line containing the given pair of points. (-5,0) and (0,1) What is
the equation of the line y=? (Type your answer in slope-intercept form. Use integers or
1/5 x + 1
16.) Graph the function f(x)=x(to the 2nd power)-x-2. If at all possible, what would this
look like on a graph?
17.) Find the slope and the y-intercept. y=3.5x-7. (Type an integer or a decimal)
Slope = 3.5
Y inter = -7
18.) For the graph, find the average rate of change as a reduced fraction. Also, state the
appropriate units. The graph shows y axis (number of pages read) at 150 and x axis
(number of days spent reading at 7.
150/7 as you described it, but I’m still not positive that we have communicated properly
Pages per day
19.) Find the domain of the function g(x)=5/1-9x. The choices are
c) x|x is a real number and x equal sign with line through it 1/9
20.) For this, there's a graph that contains no line only 7 dots. The coordinates of the seven
dots are shaped in a V and are (-4,5), (-3,4), (-2,3), (-1,2), (0,3), (1,4), and (2,5) For the
graph determine the value of: a) f(-3) b) the domain c) any x-values for which f(x)=3 d)
the range (Use a comma to separate answers as needed)
F(-3) = 4
Domain: -4, -3, -2, -1, 0, 1, 2
f(x) = 3 at -2, 0
Range: 2, 3, 4, 5
21.) Find the slope and the y-intercept of the line. 7x=6y+6 (Type an integer or a fraction)
Slope = 7/6
Y inter = -1
22.) Graph the equation by plotting points x=4 (The coordinates would be helpful)
23.) The function, p(d)=1+d/33, gives the pressure, in atmospheres (atm), at a depth d in
the sea (d is in feet). Note that p(0)=1 atm, p(33)=2, and so on. Find the pressure at 100
feet. (Type an integer or simplified fraction).