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.