Which table represents a linear function?
2 answers:
Answer:
Option 3 is correct.
Step-by-step explanation:
A function is said to be linear if there is same change in x gives same change in y which is also called slope that means if slope for each pair of the given table is same then function is said to be linear.
here in option 3rd we can find the slope for each pair of points its
and its same for each pair of point
therefore option third is correct
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Answer: -3 and 5
<u>Step-by-step explanation:</u>
Let x represent the 1st digit and y represent the 2nd digit. Then,
Eq 1: 2x + 3y = 9 → 3(2x + 3y = 9) → 6x + 9y = 27
Eq 2: 3x + 2y = 1 → -2(3x + 2y = 1) → <u>-6x - 4y = -2</u>
5y = 25
y = 5
Substitute y = 5 into either of the original equations to solve for x:
2x + 3y = 9
2x + 3(5) = 9
2x + 15 = 9
2x = -6
x = -3
Check (using the other original equation):
3x + 2y = 1
3(-3) + 2(5) = 1
-9 + 10 = 1
-1 = 1