Question

Find the equation of the line that passes through the given points. (Use x as your variable.) (0,5),(6,0)

Answer 1

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

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, 5 ) and (x₂, y₂ ) = (6, 0 )

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

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

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