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This warm-up activity in the purple workbook on page 85 teaches how to find the slope of a line. Understand concepts of positive, negative, zero, and undefined slope. Includes step-by-step instructions and practice problems.
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Warm-up Purple workbook – pg. 85 # 1 Need to be finished within the next 5 minutes Pictures or progress report
A linear equation shows the relationship of 2 variables in the form of a straight line. • Every point on the line is a solution to the equation.
Slope can be • Positive - positive slope goes up to right. • Negative - negative slope goes up to the left • Zero – is a horizontal line. • Undefined – is a vertical slope
vertical changehorizontal change change in ychange in x = Linear equations have constant slope. Slope is calculated using the following ratio: Also known as RISE over RUN Rise indicates the # of units moved up or down on the “y axis” run indicates the # of units moved to the left or right on the “x-axis”
y2–y1 x2–x1 Find the slope of a line for the points (x1, y1) and (x2, y2) as follows:
y2 – y1 = x2 – x1 6 – (–3) 9 3 4 – (–2) 3 The slope of the line that passes through (–2, –3) and (4, 6) is . 6 2 2 = = Find the slope of the line that passes through (–2, –3) and (4, 6). Let (x1, y1) be (–2, –3) and (x2, y2) be (4, 6).
1 2 (3, 1)
Try This: Example 4 Continued 1 2 (1, 1)