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Warmup (activating strategy: Work with a partner to show a linear graph of the following data.
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Warmup (activating strategy: Work with a partner to show a linear graph of the following data. “In 2010, encouraging results from a CDC study published in the Journal of the American Medical Association showed that invasive (life-threatening) MRSA infections in healthcare settings are declining. Invasive MRSA infections that began in hospitals declined 28% from 2005 through 2008.”–Retrieved from http://www.cdc.gov/mrsa/statistics/ (In 2005, let’s assume that 4,000 people contracted MRSA after they were in a hosptial). How many people would have MRSA in 2008? Show using a graph and label points
Section 3.6: Lines in the coordinate plane LEQ: How do we graph and write equations of lines in the coordinate plane?
What is a linear equation? • “an equation in that can be graphed as a line” Forms: Slope intercept: y=mx+b What does b represent? What does m represent?
Name the y and x intercept, and calculate slope. y-intercept x-intercept Slope: Where the line crosses the y axis. Where the line crosses the x-axis. Given two points (x , y ) and (x , y ), the slope is determined using the formula:
Slope Giveaways Positive slope vs negative slope
Putting into slope intercept form: 3y + 2x= 14 Y intercept (b)= Slope (m) = Complete block sheet with partner
Writing equations of lines • To write equations of lines, you need: • a slope AND a point OR • Two points Ex. 1: Write the equation of a line with a slope of -3 that contains the point (4,2)
Write the equation of: • A line containing the points (-2,5) and (4,3) • A line with an x intercept of 3 and a slope of 1.
Parallel and Perpendicular Lines Write the equation of a line parallel to y=4x+90,054 and goes through (-10,-2). Write the equation of a line perpendicular to (-7/4)x+y=12 that goes through (14,-1)