Share
Explore BrainMass

# Graphing : Line Equations, Slopes and Intercepts

Please see the attached file for the fully formatted problems.

1.) Given the function f described by f(x)=x+7, find each of the following.
F(0)=______
F(-15)=______
F(-6)=______
F(5)=______
F(b+6)=______
2.) Find the intercepts, and then use them to graph the equation. Y= -5 - 5x
3.) Graph the equation using the slope and the y-intercept. Y= 1/5x + 8
4.) Determine whether the graphs of each pair of lines are parallel.
3x + 6=Y
2y=6x - 5
Are the graphs of the given equations parallel? Yes or no?
5.) Graph the equation by plotting points. Y= -1
6.) Find an equation of the line containing the given pair of points. Express your answer in the form x=a, y=b, or y=mx+b.
(-3, -3) and (4, 4)
What is an equation of the line?
Y=_____ (Simplify your answer)
7.) Find the slope, if it exists, of the line containing the pair of points.
(-4, -8) and (-10, -12)
The slope m=_______. (Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)
8.) 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 70ft.
The pressure at 70 feet is________atm. (Type an integer or a simplified fraction.)
9.) Find the slope-intercept equation of the line that has given the characteristics.
Slope 6.3 and y-intercept (0, -9)
The slope-intercept equation y=________. (Use integers or decimals for any numbers in the expression.)
10.) Find the slope and the y-intercept.
Y=3.7x - 4
The slope is_______. (Type a integer or a decimal.)
The y-intercept is (0,___). (Type an integer or a decimal.
11.) Find the domain.
P(x)= + 5
12.) Find an equation of the line having the given slope and containing the given point.
M= -6, (1, 7)
The equation of the line is y=______. (Simplify your answer. Type answer in the form y=mx+b using integers orfractions.)
13.) Find the slope and the y-intercept of the line. Write fractional answers in lowest terms.
3y + 3x + 2 = 7 + 3x
The slope is______. The y-intercept is (0, ____.)
14.) Write an equation of the line containing the given point and parallel to the given line.
(3, -9); 7x - 6y = 5
The equation of the line is y=______. (Simplify your answer. Type answer in the form y=mx+b using integers or fractions.)
15.) Determine whether the graphs of the two equations are perpendicular.
X + 2y = 5
2x + 4y = 7
Are the graphs of the given equations perpendicular? Yes or No?
16.) In 1920, the record for a certain race was 45.4 sec. In 1960, it was 44.6sec. Let R(t)= the record in the race and t= the number of years since 1920.
Find a linear function that fits the data.
R(t)=_______.(Round to the nearest hundreath.)
What is the predicted record for 2003?______sec.(Round to the nearest tenth.)
What is the predicted record for 2006?______sec.(Round to the nearesttenth.)
In what year will the predicted record be 43.6 seconds?_______.(Round to the nearest year.)
17.) The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.
Year Average Salary
1991 \$255,000
2001 \$1,480,000
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.)
18.) Graph the function.
F(x) = 4 - |x|
19.) Find the indicated outputs f(x)= 4 - 4x.
F(0) =________.
F(-1) =________.
F(2) =________.

\$2.19