Question

Please answer corretcly and ill give u brainlist

Answer 1

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 = $\frac{-7+4}{7-1}$ = $\frac{-3}{6}$ = - $\frac{1}{2}$

Using (a, b) = (1, - 4), then

y - (- 4) = - $\frac{1}{2}$(x - 1), that is

y + 4 = - $\frac{1}{2}$(x - 1)