# 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) =________.