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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

substitute these values into the formula for m

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

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

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