Question

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3.03: Lines and Intercepts

Question 1

Which ordered pairs in the form (x, y) are solutions to the equation

4x−5y=24

Select each correct answer.

(A). (−9, −12)

(B). (6, 0)

(C). (1, −4)

(D). (4, 8)


Question 2

Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation

3x−y/4=11?

(A).Neither ordered pair is a solution.

(B).(4,  4) is a solution to the equation but not (3, −8).

(C).Both ordered pairs are solutions.

(D).(3, −8) is a solution to the equation but not (4, 4).


Question 3

Make a table of ordered pairs for the equation.

y=1/2x−3

Then plot two points to graph the equation.

!THE ATTACHMENT IS DOWN BELOW


Question 4

What is the x-intercept of the line with this equation 8x−1/3y=16?

Enter your answer in the box.


(, 0)


Question 5

Determine the x- and y-intercepts of the graph of y=−1/2x−4.


Then plot the intercepts to graph the equation.

! THE ATTACHMENT IS DOWN BELOW

Answer 1

(A). (−9, −12)  , (B). (6, 0)  & (C). (1, −4)  are solutions to the equation  4x−5y=24

Step-by-step explanation:

4x−5y=24

x = - 9

4(-9) - 5y = 24

=> y = -12

=> (−9, −12)  is solution to the equation

x = 6

4*6 - 5y = 24

=> y = 0

=> (6, 0) is solution to the equation

x = 1

4*1 - 5y = 24

=> y = -4

=>  (1, −4) is solution to the equation

x = 4

4*4 - 5y = 24

=> y = -8/5

=>  (4,8) is not solution to the equation

3x−y/4=11  &  (3, −8) and (4, 4)

putting y = -8

x = 3

putting y = 4

x = 4

Both (3, −8) and (4, 4) ordered pairs are solutions.

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Answer 2

Answer: question 4:

8x- 1/3 y = 16

when y = 0

8x = 16

x = 2

x-intercept (2,0)

Step-by-step explanation: