Question

Find the equation of the line L.

Answer 1

y = -
`(1)/(2)` 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) )`

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line

m =
`(0-4)/(8-0)` =
`(-4)/(8)` = -
`(1)/(2)`

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = -
`(1)/(2)` x + 4 ← equation of line L