How to Calculate Function From Ordered Pairs
- 1). Write the ordered pairs you want to analyze. For example, write, (3,7) and (7,2).
- 2). Write the quotient of the difference of the second term of the second pair and the second term of the first pair divided by the difference of the first term of the second pair and the first term of the first pair. Solve using a calculator. For example, (2 - 7)/(7 - 3) = -1.25.
- 3). Substitute your answer as the value of the variable m in the equation y = mx + b. For example, write, y = -1.25x + b.
- 4). Substitute the first term of the first ordered pair into the same equation in place of the variable x. For example, write, y = (-1.25 x 3) + b.
- 5). Substitute the second term of the first ordered pair into the same equation in place of the variable y. For example, write, 7 = (-1.25 x 3) + b.
- 6). Simplify your equation by completing the multiplication in the parentheses using a calculator. For example, write, 7 = -3.75 + b.
- 7). Simplify your equation again by adding a term to both sides of the equation that will leave the b variable alone on its side of the equation. For example, if you add 3.75 to both sides of the equation, 3.75 and -3.75 on the right side of the equation will cancel, leaving the variable b alone. Write, 7 + 3.75 = -3.75 + 3.75 + b.
- 8). Simplify your equation by performing the indicated addition operations. For example, write, 10.75 = b.
- 9). Substitute your answer for the variable b in the original equation y = mx + b. For example, write, y = mx + 10.75.
- 10
Substitute into the same equation your original value for m. For example, your original value for m was -1.25. Write, y = -1.25x + 10.75. You have calculated a function from the ordered pairs (3,7) and (7,2).
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