When the line \\(8x-4y=16\\) is written in the form \\(y=mx+c\\), what is its slope \\(m\\)?
Answer and explanation
Correct answer: 2
Starting with \\(8x-4y=16\\), rearrange to get \\(-4y=16-8x\\), and then divide by \\(-4\\): \\(y=2x-4\\). Comparing this with \\(y=mx+c\\), the coefficient of \\(x\\) is the slope, so \\(m=2\\). Therefore, option A is correct. Option B results from a sign error while isolating \\(y\\). Exam tip: always express the equation in \\(y=mx+c\\) form before reading the slope.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Starting with \\(8x-4y=16\\), rearrange to get \\(-4y=16-8x\\), and then divide by \\(-4\\): \\(y=2x-4\\). Comparing this with \\(y=mx+c\\), the coefficient of \\(x\\) is the slope, so \\(m=2\\). Therefore, option A is correct. Option B results from a sign error while isolating \\(y\\). Exam tip: always express the equation in \\(y=mx+c\\) form before reading the slope.
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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