The equation of a line is \(10x+5y=25\). When it is written in the form \(y=mx+c\), what is its slope \(m\)?
Answer and explanation
Correct answer: -2
From the given equation, \(5y=-10x+25\), so \(y=-2x+5\). Comparing this with \(y=mx+c\), the coefficient of \(x\) gives the slope \(m=-2\); therefore, option B is correct. Option A misses the negative sign. In an exam, isolate \(y\) first to identify the slope directly.
Frequently asked questions
What is the correct answer to this question?
-2
Why is this the correct answer?
From the given equation, \(5y=-10x+25\), so \(y=-2x+5\). Comparing this with \(y=mx+c\), the coefficient of \(x\) gives the slope \(m=-2\); therefore, option B is correct. Option A misses the negative sign. In an exam, isolate \(y\) first to identify the slope directly.
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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