January 29, 2013
6.5
Point-Slope Form and
Writing Linear Equations
Slope Formula
Point-Slope Form : through the point (x1, y1) and slope m
Ex1: Graph the equation using Point-Slope Form
y - 2 = 1 (x - 1)
3
1
January 29, 2013
6.5
Point-Slope Form and
Writing Linear Equations
Point-Slope Form : through the point (x1, y1) and slope m
Ex1: Graph the equation using Point-Slope Form
y - 2 = 1 (x - 1)
3
Ex2: Write the equation of the line that has slope
passes through the point (10, -8).
and
1
2
January 29, 2013
Ex3: Write equations for the line in point-slope form and in
slope-intercept form.
(-1, 4) and (2, 3)
Write an equation in point-slope form for the line through the
given points or through the given point with the given slope.
(1, 2) and (3, 8)
(6, -2); m = - 4
3
1. (5, 6) and (6, 8)
2. (-2, 3); m = -1
3. (-1, 4); m = 4
4. (4, 2) and (-4, -2)
Homework
Pages 339-340 #2-8 even, 12-15, 23-29, 31-34, 37-45
3
January 29, 2013
Write an equation in point-slope form for the line through the
given points or through the given point with the given slope.
(1, 2) and (3, 8)
1. (5, 6) and (6, 8)
3. (4, 2) and (-4, -2)
(6, -2); m = - 4
3
2. (-2, 3); m = -1
4. (-1, 4); m = 4
4
January 29, 2013
Ex4: Is the relationship shown by the data linear? If so, model
the data with an equation.
x
y
3
2
6
4
-1
-2
-3
-6
Ex5: Is the relationship shown by the data linear? If so, model
the data with an equation.
x
y
-2
-1
-2
-1
1
0
2
1
2
5
January 29, 2013
Linear Equations Summary
Slope-Intercept Form
Standard Form
Point-Slope Form
6