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Using Point-Slope Form to get SIF

Using Point-Slope Form to get SIF. y – y 1 = m (x – x 1 ). Write an eq uation given: (Goal: y = mx + b) A point and the slope. Use the point-slope form and simplify. Two points Calculate m. Follow the steps above using only ONE of the ordered pairs. Example 1.

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Using Point-Slope Form to get SIF

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  1. Using Point-Slope Form to get SIF

  2. y – y1 = m (x – x1) Write an equation given: (Goal: y = mx + b) • A point and the slope. • Use the point-slope form and simplify. • Two points • Calculate m. • Follow the steps above using only ONE of the ordered pairs.

  3. Example 1 • Write an equation in SIF that passes through (2, -3) with a slope of ½. Answer: y= ½ x - 4

  4. Example 2 • Write an equation of a line that passes through (4, -2) and has a slope of 2. Answer: y = 2x - 10

  5. Example 3 • Write an equation of the line that passes through (-3, -1) and (6,-4). Answer: y = -1/3 x - 2

  6. Example 4 • Write an equation of the line that passes through (5,1) and (8, -2). Answer: y= -x +6

  7. Example 5 • Write an equation of the line whose slope is -2 and has an x-intercept of 3. • Answer: y = -2x + 6

  8. Use the equation to predict: • In Chicago, a regular gallon of gasoline cost $2.05 in May and $2.42 in June. Write an equation to represent this situation. (Use January as month 1.) Answer: y = 0.37x +0.20

  9. Now use it to predict • If the Yellow Cab Company has budgeted $7000 for their July gas and they use, on average, 3000 gallons per month, will they have to increase their budget? • y = 0.37x +0.20 • Answer: The price of gas will be $2.79 in July. This means they will spend approx. $8370 in gas. They will need to increase their budget by $1370.

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