Which set of points contains the solutions to the equation y = 4x – 5?

Question

 Which set of points contains the solutions to the equation y = 4x – 5? 

    

A. {(–3,–17), (2,3), (3,7)}

B. {(3,17), (2,3), (8,27)}

C. {(–3,–17), (4,11), (3,19)}

D. {(–2,–18), (4,7), (5,15)}

 

 

 

Answer 1

To see which points are contained in the line, plug them in to see if the equation is true.

(–3,–17), (2,3), (3,7)

y=4x-5

-17=4(-3)-5

-17=-12-5

-17=-17 This is a solution

y=4x-5

3=4(2)-5

3=8-5

3=3 This is a solution

y=4x-5

7=4(3)-5

7=12-5

7=7 This is a solution

The answer is A

Answer 2

For this type of question, your best bet will be to go through each answer choice and plug in the given points to determine if they make the equation true or not.

Remember, points, aka ordered pairs, are written (x,y) so make sure you're plugging in the x and y coordinates in the right place.

Let's start with answer choice A {(–3,–17), (2,3), (3,7)}

Let's see what happens when you plug in each point into the equation y = 4x - 5

(-3,-17)

-17 = 4(-3) - 5

-17 = -12 - 5

-17 = -17 (this point works!)

(2,3)

3 = 4(2) - 5

3 = 8 - 5

3 = 3 (this point works, too!)

(3,7)

7 = 4(3) - 5

7 = 12 - 5

7 = 7 (sweet, this one also works!)

It's your lucky day: all 3 point in choice A make the equation true, so you've already found your answer! No need to check the rest of the answer choices :)

Answer 3

"a" is your answer.

y=4x-5

-17=4*-3-5; 3=4*2-5, 7=4*3-5 Remember; first digit is "x"; second is "y".