Question

Emma tried to write and equation of the linear table but made an error

Answer 1

The correct equation is y = -2x + 5

The correct numbers for the graph are (-3,-11), (0,5), and (3,-1)

Step-by-step explanation: Emma put 2x as positive, however, if you put the x values into the variable next to the 2, you will find that some of the answers are incorrect. For example, y = 2(-3)+5. For this one, the answer needs to come up as 11 as it's the y in this case right? Well when you solve the equation, 2(-3) = -6 and -6 plus 5 = -1. However, if you change the 2x into -2x the answer comes up correctly. y= -2(-3) +5 ~ -2(-3) = 6 and 6 plus 5 = 11. This works for all of the x numbers in the table. Hope this helps! ✨

Answer 2

The correct answer is (-3,-1) (0,5) (3,11)

Explanation:

Emma's mistake was flipping her y-values, 11 matches with 3, not -3. The most likely reason she did this was accidentally making the slope negative. The table she wrote fits the line y=-2x+5. If you plug in -3 into the correct equation you will get -1 and 3 will get you 11.