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Identifying a Linear Equation from a Table of Values

Identifying a Linear Equation from a Table of Values. Slope-Intercept Method. The tasks at hand. Identify the slope of a line Identify the intercept of a line Just what is the intercept of a line?.

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Identifying a Linear Equation from a Table of Values

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  1. Identifying a Linear Equation from a Table of Values Slope-Intercept Method

  2. The tasks at hand Identify the slope of a line Identify the intercept of a line Just what is the intercept of a line?

  3. The diagram to the right shows both the X-intercept and the Y-intercept of the linear equation Y = -2X + 4 • As you can see, for the relation Y = -2x + 4, the X-intercept is (2, 0) and the Y –intercept is (0, 4).

  4. Y = MX + B • To use a table of values, we must calculate both the slope and Y-intercept. • To accomplish this, we will always use the Slope-Intercept Formula (Y = MX + B) • M stands for the slope. • B stands for the Y-intercept. • Once we have completed this, we will have the equation. • So let’s begin!

  5. Calculating Slope • Slope = the change in Y (the rise) as X is increased by 1 (the run) • Note the changes in the Y values • Increased by 2 every time while the values for X increase by 1 • Therefore, slope will be or simply 2. Therefore M = 2.

  6. Calculating The Y-Intercept • Now select one pair of coordinates. • Let’s use (2, 5) for this example • We could have chosen any of them • Insert this ordered pair and M into • Y = MX + B • Then solve for B

  7. M = 2 • Y = MX + B • 5 = (2)(2) + B • 5 = 4 + B • 5 – 4 = 4 – 4 + B • 1 = B • So, the equation will be Y = 2X + 1

  8. Another example • This time, Y is changing by 3 every time • So M = 3 • Let’s use (2, 8) • Y = MX + B • 8 = (3)(2) + B • 8 = 6 + B • 8 – 6 = 6 – 6 + B • 2 = B • Y = 3X + 2

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