Question

Which of the following linear equations represents the data chart?

X Y
1 6
2 5
3 4
4 3

y=x+5
y=x+3
y = -x + 7
None of these choices are correct.

Answer 1

Answer: y = -x + 7

Explanation:

The slope is
`(5-6)/(2-1)=-1`, so we know the equation is of the form
`y=-x+b`.

Substituting in the coordinates (1,6) to find b,

`6=-1+b\\\\b=7`

Thus, the equation is y = -x + 7