Algebra 1: Chapter 5.4
Point-Slope Form
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 1
You can use the slope of the line and any point on the line to write and graph an
equation of the line.
The point-slope form of an equation of a nonvertical line with slope m and through
point (x1, y1) is y – y1 = m(x – x1)
(x1, y1) represent a specific point on the line and m is the slope.
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 2
Writing an Equation in Point-Slope Form
Ex 1) A line passes through (-3, 6) and has a slope of -5. What is the equation of the line
in point-slope form?
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 3
Writing an Equation in Point-Slope Form
P1) A line passes through (8, -4) and has a slope of 2/3. What is the equation of the line
in point-slope form?
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 4
Graphing Using Point-Slope Form
What is the graph of the equation
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 5
Graphing Using Point-Slope Form
What is the graph of the equation
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 6
Using 2 Points to Write an Equation in Point-Slope Form
Ex1) (-2, -3) and (1, 4)
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 7
Using 2 Points to Write an Equation in Point-Slope Form
P1) Using the same two points in Ex. 1 use the other point to write an equation of the
line.
P2) Rewrite both equations in slope-intercept form and compare.
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 8
1. What are the slope and one point on the graph of
2. What is an equation of the line that passes through the point
(3, -8) and has a slope -2? In point-slope form.
3. What is the graph of the equation y – 4 = 3(x + 2)?
4. What is an equation of the line that
passes through the points (-1, -2) and (2, 4)?
In point-slope form.
FLIP BOOK NOTES
“Ch 5.4 POINT-SLOPE Form” Section
Page 9
5. What features of the graph of the equation y – y1 = m(x – x1)
can you identify?
6. Is y – 4 = 3(x + 1) an equation of a line through (-2, 1)? Explain.
7. Can any equation in point-slope form also be written in slopeintercept form? Give an example to explain.
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