Question

Write an equation that represents the line. Use exact numbers.

_________

Answer 1

y = -
`(4)/(3)` x - 1

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 ) = (0, - 1) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m =
`(-5+1)/(3-0)` = -
`(4)/(3)`

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

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