Will give brainliest, worth 30 what is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ? enter your answer in the box.

We know that if two lines are Parallel then both the lines have same Slope.

Given : Equation of 1st Parallel line is -x + 3y = 6

this can be written as :

3y = x + 6

y = x/3 + 2

Comparing with standard form : y = mx + c

we can notice that slope = 1/3

We know that the form of line passing through point (x₀ , y₀) and having slope m is :

y - y₀ = m(x - x₀)

Here the 2nd Parallel line passes through the point (3 , 5)

x₀ = 3 and y₀ = 5 and we found m = 1/3

⇒ y - 5 = 1/3(x - 3)

⇒ 3y - 15 = x - 3

⇒ -x + 3y = 12

range is infinite on both x and y axis positive and negative

step-by-step explanation: