Graphing Linear Equations Practice Question

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Question 1

The table shows four pairs of values of x and y that satisfy the linear equation y = 3x -5. Find the values for P and S.

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Answer

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Select and check your answer...

A. P=1 and S=7
B. P=7 and S=1
C. P=-1 and S=7
D. P=-7 and S=1

Step by Step Solution

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    Step 1

    Let's find the value for P first. For the point (2,P), P is the y-coordinate when the x-coordinate is 2. To solve this, use x = 2 to find P by:

    substituting x = 2 , y = P: P = 3(2)-5. 3 x 2 gives 6 : = 6 - 5. 6 - 5 gives 1: = 1

    Therefore P = 1.

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    Step 2

    Similarly, now let's find S. For the point (4,S), S is the y-coordinate when the x-coordinate is 4. To solve this, use x = 4 to find P by:

    substituting x = 4 , y = S : S = 3(4)-5. 3 x 4 gives 12 : = 12 - 5. 12 - 5 gives 7: = 7

    Therefore S = 7.

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    Step 3

    From Step 1 & 2, clearly the answer for this question is A..

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