Question

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

a. y=-2x-6 b.y=-2x+10 c.y=2x-6 d.y=2x+10

Answer 1

The answer is a, I took the test.

Explanation:

Answer 2

a

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 =
`(-2-2)/(-2+4)` =
`(-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