# How do you find the equation of the line parallel to 3x + 5y = 11 and has a y-intercept of -6?

##### 2 Answers

See the answer below...

#### Explanation:

The slope of the the straight line equation

#3x+5y=11# is#(-3/5)#

Hence the slope of the line parallel is same to the given line i.e,#(-3/5)#

We can write the equation in the following form slope intercept form i.e,#y=mx+c#

Here#c=-6# and#m=-3/5# The answer is

#y=-3/5x-6=>5y=-3x-30=>3x+5y=-30# Hope it helps...

Thanks you...

**The equation of the line is**

#### Explanation:

Parallel lines have equal slope. The slope of the line

The required line has

Let the required equation of the line is

of the line is

graph{-3/5x-6 [-22.5, 22.5, -11.25, 11.25]} [Ans]