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SingaporeMathsQuick questions

Functions and Graphs

Quick questions on Linear graphs and gradient explained: N(A)-Level Mathematics Functions and Graphs

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the equation of a straight line?
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Every straight line (except a vertical one) can be written as:
What is gradient?
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The gradient measures how steep the line is - how much yy changes for each unit increase in xx:
What is the y-intercept?
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The yy-intercept cc is the value of yy where the line meets the yy-axis, that is when x=0x = 0. In a real context it often means a starting value, such as a fixed fee before any usage is added.
What is reading values from a graph?
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Once a line is drawn, you can read off a yy value for any xx (or the reverse) by going up from the axis to the line and across. This is how travel and conversion graphs are used.

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