If the points \\((-1,7)\\) and \\( (2,1)\\) are included in a value table of a line, which is the correct equation of the line?
Answer and explanation
Correct answer: \\(2x+y=5\\)
Substitute both points into the options. For \\((-1,7)\\), \\(2(-1)+7=5\\), and for \\( (2,1)\\), \\(2(2)+1=5\\). Thus both points satisfy \\(2x+y=5\\). Alternatively, the slope is \\(m=(1-7)/(2-(-1))=-2\\), giving \\(y=-2x+5\\), or \\(2x+y=5\\). Exam tip: To verify a line equation, substitute both given points and check that each one satisfies it.
Frequently asked questions
What is the correct answer to this question?
\\(2x+y=5\\)
Why is this the correct answer?
Substitute both points into the options. For \\((-1,7)\\), \\(2(-1)+7=5\\), and for \\( (2,1)\\), \\(2(2)+1=5\\). Thus both points satisfy \\(2x+y=5\\). Alternatively, the slope is \\(m=(1-7)/(2-(-1))=-2\\), giving \\(y=-2x+5\\), or \\(2x+y=5\\). Exam tip: To verify a line equation, substitute both given points and check that each one satisfies it.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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