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Section 2.3

# Section 2.3 - driver is from home after x hours a Find the...

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Section 2.3 The slope of a Line 1

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Slope The slope of the line passing through (x 1 ,y 1 ) and (x 2 ,y 2 ) is given by Example: Find the slope of the line containing (2, -3) and (-4, 9) 2 1 1 2 2 1 1 2 rise difference in y run difference in x y y y y m x x x x - - = = = = - - 2
Slope Intercept Form Any equation y = mx + b has a graph that is a straight line. It goes through the y- intercept (0, b) and has slope m. Any equation of the form y = mx + b is said to be written in slope – intercept form. Example: Find the linear function f(x) given that f (2) = -3 and f (-4) = 9. 3

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Use the graph to express the line in slope-intercept form. 54) 56) 4
An individual is driving a car along a straight road. The graph shows the distance that the

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Unformatted text preview: driver is from home after x hours. a) Find the slope of each line segment in the graph. b) Interpret each slope as a rate of change. c) Describe both the motion and the location of the car. 5 Sketch a graph that models the given situation. 84) The amount of water in a 10,000 gallon swimming pool that is filled at the rate of 1000 gallons per hour, left full for 10 hours, then drained at the rate of 2000 gallons per hour. 6 As a painter begins work, one-fourth of a house has already been painted. Eight hours later, the house is two-thirds done. Calculate the painter’s work rate. 7...
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Section 2.3 - driver is from home after x hours a Find the...

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