Question

Which equation represents the line that passes through points B and C on the graph?

Answer 1

Answer:

The answer is a, I took the test.

Step-by-step explanation:

Answer 2

Answer:

a

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = B(- 4, 2) and (x₂, y₂ ) = C(- 2, - 2)

m = $\frac{-2-2}{-2+4}$ = $\frac{-4}{2}$ = - 2

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, - 2), then

- 2 = 4 + c ⇒ c = - 2 - 4 = - 6

y = - 2x - 6 ← equation of line through B and C