Question

(0, -4) and (-4, -13)
write an equation of the line that passes through the given points.​

Answer 1

y =
`(9)/(4)` x - 4

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, - 4 ) and (x₂, y₂ ) = (- 4, - 13 )

substitute these values into the formula for m

m =
`(-13-(-4))/(-4-0)` =
`(-13+4)/(-4-0)` =
`(-9)/(-4)` =
`(9)/(4)`

the line crosses the y- axis at (0, - 4 ) , then y- intercept c = - 4

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