Question

Complete the equation of the line through (-6, -5) and (-4,-4). Use exact numbers.

Answer 1

Answer:

y = $\frac{1}{2}$ x - 2

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)

m = $\frac{-4+5}{-4+6}$ = $\frac{1}{2}$, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

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

Using (- 6, - 5), then

- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2

y = $\frac{1}{2}$ x - 2 ← equation of line