If (y=(a+4)x+(a-10)) passes through the origin, what will be its slope?
Answer and explanation
Correct answer: 14
The line is \,\(y=(a+4)x+(a-10)\). At the origin, \,\(x=0\) and \,\(y=0\), so \,\(a-10=0\), giving \,\(a=10\). The slope is the coefficient of \,\(x\): \,\(a+4=10+4=14\). Hence, 14 is correct. A value such as 12 would result from using an incorrect value of \,\(a\). Exam tip: in \,\(y=mx+c\), \,\(m\) is the slope and \,\(c\) is the y-intercept.
Frequently asked questions
What is the correct answer to this question?
14
Why is this the correct answer?
The line is \,\(y=(a+4)x+(a-10)\). At the origin, \,\(x=0\) and \,\(y=0\), so \,\(a-10=0\), giving \,\(a=10\). The slope is the coefficient of \,\(x\): \,\(a+4=10+4=14\). Hence, 14 is correct. A value such as 12 would result from using an incorrect value of \,\(a\). Exam tip: in \,\(y=mx+c\), \,\(m\) is the slope and \,\(c\) is the y-intercept.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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