For Exercises 51−62, a. Write the equation in slope-intercept form if possible, and determine the slope and y -intercept. b. Graph the equation using the slope and y -intercept. (See Example 4 51. 2 x − 4 y = 8
For Exercises 51−62, a. Write the equation in slope-intercept form if possible, and determine the slope and y -intercept. b. Graph the equation using the slope and y -intercept. (See Example 4 51. 2 x − 4 y = 8
Solution Summary: The author explains how to find the equation in slope-intercept form, and the slope and y.
For Exercises 51−62, a. Write the equation in slope-intercept form if possible, and determine the slope and y-intercept. b. Graph the equation using the slope and y-intercept. (See Example 4 51.
2
x
−
4
y
=
8
A new car worth $48,000 is depreciating in value by
$6000 per year. The mathematical model, which
describes the car's value, y, in dollars, after x years, is
y=-6000x + 48,000.
a. Find the x-intercept. Describe what this means in terms
of the car's value.
b. Find the y-intercept. Describe what this means in terms
of the car's value.
c. Use the intercepts to graph the linear equation.
Because x and y must be nonnegative, limit your graph to
quadrant I and its boundaries.
d. Use your graph to estimate the car's value after five
years.
S
****
HILD LOCK
a. The x-intercept is ☐
(Type an integer or a fraction.)
OF
Describe what this means in terms of the car's
value. Choose the correct answer below.
O A.
After 8 years, the car is worth $0 less
than it was worth when it was new.
OB. The car has no value after 8 years.
O C. The car is worth $8 after 8 years.
O D.
After 1 year, the car is worth $8 less
than it was worth when it was new.
b. The y-intercept is
(Type an integer or a fraction.)…
The distance y (in miles) that Train A travels in x hours is represented by the equation y=78x. The graph
shows the distance that Train B travels. Which train is faster?
Y=Mx+b
Train B
330
264
198
132
66
0 1 2 3 4 5 x
Time (hours)
Distance (miles)
In the equation Y = 6.57 + 2.2 (x1) + 8.7 (x2), what is the y-intercept?
a. 17.47
b. 8.7
c. 2.2
d. 6.57
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
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