Section 5.4: Point­Slope Form
Section 5.4: Point‐Slope Form
The Point‐Slope Form of an equation of a non‐vertical line with slope m and through point (x1, y1) is: y – y1 = m(x – x1)
Example 1: Writing an Equation in Point‐Slope Form
Example 1: Writing an Equation in Point‐Slope Form
A. A line passes through (‐3, 6) and has a slope of ‐5. What is an equation of the line in point‐slope form?
B. A line passes through (8, ‐4) and has a slope of 2/3. What is an equation of the line in point‐slope form?
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Section 5.4: Point­Slope Form
Example 2: Graphing Using Point‐Slope Form
Example 2: Graphing Using Point‐Slope Form
What is the graph of the equation(s): What is the graph of the equation(s): A. y – 1 = 2/3(x – 2)
B. y + 7 = ‐4/5(x – 4)
Example 3: Using Two Points to Write an Equation
Example 3: Using Two Points to Write an Equation
What is an equation for the following lines? A) Write in P‐S‐F and What is an equation for the following lines? A) Write in P‐S‐F and B) Write in S‐I‐F
B) Write in S‐I‐F
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Section 5.4: Point­Slope Form
Example 3: Using Two Points to Write an Equation
What is an equation for the following lines? A) Write in P‐S‐F and B) Write in S‐I‐F
Example 4: Writing Equations Given Two Points
Write an equation in point‐slope form of the line that passes through the following points. Then simplify to slope‐intercept form.
A. (1, 4), (‐1, 1)
Example 4: Writing Equations Given Two Points
Write an equation in point‐slope form of the line that passes through the following points. Then simplify to slope‐intercept form.
Example 5: Using a Table to Write an Equation
The table shows the altitude of a hot‐air balloon during its linear descent. What equation in slope‐intercept form gives the balloons altitude at any time? What do the slope and y‐intercept represent?
B. (2, 4) and (‐3, ‐6)
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Section 5.4: Point­Slope Form
Homework Please :)
WB: Pages 151­152 #1­23
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