# What is the equation of the line that goes through #(3, -6)# and is parallel to the line #3x+y-10=0#?

##### 1 Answer

#### Explanation:

Let us find the slope of the given line

By subtracting 3x from and adding 10 to both sides,

So, the slope is

To find an equation of the line, we need two pieces of information:

- A point on the line:
#(x_1, y_1)=(3,-6)# - The slope:
#m=-3# (same as the given line)

By Point-Slope Form

This can be simplified to give

Slope -intercept form:

Or standard form:

I hope that this was clear.