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Infer linear rules and connect them to intersections and models.
Free examples and worked answers. No account needed.
Practise the method.
Infer linear rules and connect them to intersections and models.
Infer linear rules and connect them to intersections and models.
Example 1
A straight line passes through (4,18) and (7,33). Find its y−intercept.
Show worked answer
Answer: −2
- Gradient =315=5.
- Substitute a point into y=5x+c to find c=−2.
Example 2
A machine follows one linear rule. Input 2 gives output 1; input 4 gives 7. Which input gives output 46?
Show worked answer
Answer: 17
- The output rises 6 over two input steps
- the rule is y=3x−5.
- Solving y=46 gives x=17.
Example 3
Line L passes through (1,2) and (3,6). A parallel line passes through (1,22). Find the x−coordinate where that parallel line meets y=3x+8.
Show worked answer
Answer: 12
- L has gradient 2;
- the parallel line has the same gradient.
- Its given point gives y=2x+20.
- Equate the two lines: 2x+20=3x+8
- x=12.
Put it into practice.
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