The equation of the line that passing through the point and parallel to the line id x+y=6.
Given that,
The point is (5,1)
The parallel line is x+y=9
We have to find the equation of the line that passing through the point and parallel to the line.
We know that,
The equation of the line is y=mx+b.
y and x is the point that passing through the line that is (5,1).
m is the rise by run slope of the line and b is y-intercept.
m is the slope of the parallel line that is x+y=9
y=9-x
y=-x+9
So,
The slope m is -1
b is 1=-5+b
1+5=b
b=6
The equation of the line is y=-x+6
x+y=6
Therefore, The equation of the line that passing through the point and parallel to the line id x+y=6.
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