An equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21 is y = 1/3x + 7.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We need to find an equation of the line that passes through the point (−6,5) and is parallel to the line x−3y=21.
Parallel lines have the same slope;
x -3y = 21
y = (21-x)/-3
y = 1/3x -7
Substitute the values;
y = mx + c
5 = (1/3)(-6) + c
5 = -2 + c
c = 7
Therefore, the equation is y = 1/3x + 7
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