Question

Write the equation of the line in fully simplified slope intercept form

Please help me :(

Answer 1

y = -
`(5)/(6)` x + 6

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, 6) and (x₂, y₂ ) = (6, 1) ← 2 points on the line

m =
`(1-6)/(6-0)` =
`(-5)/(6)` = -
`(5)/(6)`

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = -
`(5)/(6)` x + 6 ← equation of line