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13.4 Slope. -Rivkah Singh . In-depth mini lesson. Slope – Measures the slant or steepness of a line. When we are given two points, we measure the slope with this formula: m = Sometimes this formula is called the rise over run formula. Or we can remember this formula by calling it: m = .
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13.4 Slope -Rivkah Singh
In-depth mini lesson Slope – Measures the slant or steepness of a line. When we are given two points, we measure the slope with this formula: m = Sometimes this formula is called the rise over run formula. Or we can remember this formula by calling it: m =
Example 1 Find the slope given the points (3, 1) and (2, 6) First let’s label our coordinates: (3, 1) and (2, 6) () Now we can plug our coordinates into our formula for slope. m = m = m = m = -5 m =
Steps to find the slope with two points • Label your points as () • Plug them into your formula for slope.
Slope-intercept form • The slope-intercept form of the equation of a line is: y = mx + b m = slope Example 2. Find the slope of the line: y = 3x + 2 y = 3x + 2 Slope = 3
Example 3 • Find the slope of the line: 2x + 3y = 6 First we solve the equation for y. 2x + 3y = 6 3y = -2x + 6 The slope is the coefficient of x. Therefore, the slope is =
Steps to find the slope given an equation • Solve the equation for y • The slope is equal to the coefficient of x
Recap 1. How do you find the slope given two points? 2. How do you find the slope given the graph of a line? 3. How do you find the slope given an equation?