Question

Find the equation of the line.
Use exact numbers.

y = ___ x + ____

Answer 1

y =
`(3)/(4)` 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 =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m =
`(1-(-2))/(4-0)` =
`(1+2)/(4)` =
`(3)/(4)`

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

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