Question

What is the equation of the line that passes through the point (6,1) and has a slope of -5/6 ​

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 )

here m = -
`(5)/(6)` , then

y = -
`(5)/(6)` x + c ← is the partial equation

to find c substitute (6, 1 ) into the partial equation

1 = - 5 + c ⇒ c = 1 + 5 = 6

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