Graphs 1

2 marks · Normal

State whether the following statement is true or false. Explain your answer. "The point (0, 4) lies on the line y = 2x + 4."

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True. Substituting x = 0 gives y = 2 × 0 + 4 = 4.

Must show: Statement is True, Substitution shown

Also accept: Yes, because 2 × 0 + 4 = 4.; True. When x = 0, y = 4 as required.

Common mistakes: Incorrect substitution

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Marking points

M1 · 1 mark · Correctly substitutes x = 0 and finds y.

B1 · 1 mark · States correctly that the statement is true (with supporting statement).

Worked solution

Substitute x = 0 into y = 2x + 4:

So y = 4 when x = 0; statement is true.