Question

What is an equation of the line that passes through the point (6,3) and is parallel to

the line x+3y=24


PLEASE ANSWER
Y=Mx+b answer

Answer 1

y=−13x+5

Explanation:

Answer 2

y = -
`(1)/(3)` x + 5

Explanation:

The equation of a line in slope - intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

x + 3y = 24 ( subtract x from both sides )

3y = - x + 24 ( divide all terms by 3 )

y = -
`(1)/(3)` x + 8 ← in slope- intercept form

with slope m = -
`(1)/(3)`

Parallel lines have equal slopes , thus

y = -
`(1)/(3)` x + b ← is the partial equation

To find c substitute (6, 3) into the partial equation

3 = - 2 + b ⇒ b = 3 + 2 = 5

y = -
`(1)/(3)` x + 5 ← equation of parallel line