Science:Math Exam Resources/Courses/MATH110/April 2011/Question 07 (b)

MATH110 April 2011

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Question 07 (b)
The line you gave as an answer in part (a) has an x-intercept and a y-intercept. Find these. (They will be in terms of m.)

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

Hint
What is the value of x at the y-intercept? The value of y at the x-intercept? How can you use this information to find the other half of the intercept?

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Solution

Found a typo? Is this solution unclear? Let us know here. Please rate my easiness! It's quick and helps everyone guide their studies. Our line has a y-intercept when $x=0$. Plugging this into our equation of the line, we get $y=m(0)-m+1=-m+1$. So our y-intercept is $(0,-m+1)$. Similarly, our x-intercept occurs when $y=0$. Setting our equation equal to zero and solving for $x$, we get $0=mx-m+1$ We see that if m=0, then there is no x-intercept (the line is horizontal). Otherwise $x={\frac {m-1}{m}}$ and our x-intercept is $\left({\frac {m-1}{m}},0\right)$.

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