Warm up Look at the equation below For
Warm up Look at the equation below: For what value of A will the graph of the equation have an x-intercept of -2?
RATE OF CHANGE AND WRITING EQUATIONS OF LINES 2. 3 and 2. 4
Example 1 Find the slope of the line that passes through (– 1, 4) and (1, – 2).
Example 2 Find the slope of the line shown.
Rate of Change Example 3: In 2004, 56, 878 students applied to UCLA. In 2006, 60, 291 students applied. Find the rate of change in the number of students applying for admission from 2004 to 2006.
Example 4 Refer to the graph below, which shows data on the fastest-growing restaurant chain in the U. S. during the time period of the graph. Find the rate of change of the number of stores from 2001 to 2006.
2. 4
Example 5
Example 6 Write an equation in slope-intercept form for the line. • •
Example 7 What is an equation of the line through (2, – 3) and (– 3, 7)?
Example 8: Write an equation in slope-intercept form for the line that passes through (3, 5) and is parallel to the line whose equation is y = 3 x – 2.
Example 9: Write an equation in slope-intercept form for the line that passes through (3, – 2) and is perpendicular to the line whose equation is y = – 5 x + 1.
Example 10: In 2009, it was estimated that there were 300 northern right whales in existence. The population of northern right whales is expected to decline by at least 25 whales each generation. Write an equation that represents the number of northern right whales that will be in existence in x generations.
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