Question

Write the equation of the line in fully simplified slope-
intercept form.
Help please

Answer 1

y = -
`(1)/(3)` 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 ) = (6, 0) ← 2 points on the line

m =
`(0-2)/(6-0)` =
`(-2)/(6)` = -
`(1)/(3)`

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

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