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

Step-by-step explanation:

The slope is $\frac{5-6}{2-1}=-1$, 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