Answer:
D
Step-by-step explanation:
Note the difference in the values of y are constant, that is
- 7 - (- 4) = - 7 + 4 = - 3
- 10 - (- 7) = - 10 + 7 = - 3
- 13 - (- 10) = - 13 + 10 = - 3
This indicates that the relationship is linear
To find the equation in point- slope form
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 4) and (x₂, y₂ ) = (7, - 7) ← 2 ordered pairs from the table
m = [tex]\frac{-7+4}{7-1}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]
Using (a, b) = (1, - 4), then
y - (- 4) = - [tex]\frac{1}{2}[/tex](x - 1), that is
y + 4 = - [tex]\frac{1}{2}[/tex](x - 1)
