# 11 Graphing Problems : Slope, Intercept and Application Word Problems

1.) Use the intercepts to graph the equation.

X + 3y = 6

2.) Graph the line containing the given pair of points and find the slope.

(2, 1) (-5, -3)

Find the slope of the line.

M=____. (simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)

3.) Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and as dependent or independent.

What is the solution of the system of equations? ______ (a point, infinitely many solutions, or no solution.)

Is the system consistent or inconsistent?

Are the equations dependent or independent?

4.) In 1990, the life expectancy of males in a certain country was 69.4 years. In 1995, it was 72.3 years. Let E represent the life expectancy in year t and let t represent the number of years since 1990.

The linear function E(t) that fits the data is E(t) = ___t +____. (Round to nearest tenth.)

Use the function to predict the life expectancy of males in 2003.

E(13)=_____. (Round to the nearest tenth.)

5.) Translate to an algebraic expression.

The product of 46% and some number.

The translation is _____. (Type the percentage as a decimal. Use n to represent some number.)

6.) Use the intercepts to graph the equation.

X + 3y = 6

7.) Find the slope, if it exists.

X = -6

M=_____. (Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)

8.) Find the slope and the y-intercept.

F(x)= -10x - 8

The slope is _______.

The y-intercept is (0, ___.)

9.) On three consecutive passes, a football team gains 5 yards, loses 30 yards, and gains 33 yards. What number represents the total net yardage?

The total net yardage is____yards.

10.) Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and train B is traveling at 64 miles per hour. Train A passes a station at 3:25 P.M. If train B passes the same station at 3:55 P.M., at what time will train B catch up to train A?

__:__ (P.M. or A.M.

11.) The function H described by H(x) = 2.75X + 71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long.

The predicted height of a woman whose humerus is 33 cm long is ___cm.

#### Solution Preview

(1) the intercepts are (6, 0) and (0, 2)

(2) the slope of the line containing the given points is 4/7

(3) I don't see a system of equations

(4) since t = 0 corresponds to 1990, the E-intercept is (0, 69.4);

also, (72.3 - 69.4)/(5 - 0) = 0.58 is the slope, hence

E(t) = 0.58 ...