Question

Write the equation of this line in slope-intercept form.

Answer 1

y =
`(3)/(4)` x - 5

Explanation:

the equation of a line in slope- intercept fprm is

y = mx + c ( m is the slope and c the y- intercept )

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 2) ← 2 points on the line

substitute these values into the formula for m

m =
`(-2-(-5))/(4-0)` =
`(-2+5)/(4)` =
`(3)/(4)`

the line crosses the y- axis at (0, - 5 ) , then c = - 5

y =
`(3)/(4)` x - 5 ← equation of line