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.

Respuesta :

Answer: y = -x + 7

Step-by-step explanation:

The slope is [tex]\frac{5-6}{2-1}=-1[/tex], so we know the equation is of the form [tex]y=-x+b[/tex].

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

[tex]6=-1+b\\\\b=7[/tex]

Thus, the equation is y = -x + 7