Question 1063838: What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?
A.) 4x - y = 13
B.) 4x + y = 13
C.) 4x + y = -13
Answer by ikleyn(52797)   (Show Source):
You can put this solution on YOUR website! .
What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?
A.) 4x - y = 13
B.) 4x + y = 13
C.) 4x + y = -13
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First of all, the line parallel to the given line 4x + y - 2 = 0 has the form
4x + y -c = 0, (1)
where "c" is some constant value.
To find this constant value "c", use the condition that the line passes through the point (4,-3) and substitute x= 4, y= -3 into equation (1).
You will get
4*4 + (-3) -c = 0, or 16-3 = c, or c = 13.
Thus the equation of the line under the question is
4x + y - 13 = 0, or, which is the same, 4x + y = 13.
Answer. Option C).
Solved.
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