Question

Complete the equation of the line through (-6,-5) and (-4,-4) y=

Answer 1

y =
`(1)/(2)` x - 2

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 =
`(-4+5)/(-4+6)` =
`(1)/(2)`, thus

y =
`(1)/(2)` x + c ← is the partial equation

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

Using (- 4, - 4), then

- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2

y =
`(1)/(2)` x - 2 ← equation of line