Title: Wed, 2/10/10 SWBAT
1 Wed, 2/10/10SWBATWrite and graph
eqns in standard form and point-slope form
- Agenda
- WU (10 min)
- Cornell notes / 7 Examples
- Warm Up Simplify each expression
- -1(-3x y)
- -2( y)
- 3. -5(x 3)
- HW7-standard form and HW8-point-slope form
2STANDARD FORM
The STANDARD FORM of an equation of a line is Ax
By C
- A 0
- A and B are not both zero
- A , B, and C are integers (not fractions)
3Convert y 8 2x to standard form.
HW Prob 1
4Convert y 3x 12 to standard form.
multiply both sides by -1
5Convert y 6776x to standard form.
multiply both sides by -2
6Point-Slope Form
Writing Equations of Lines
- Ms. Sophia Papaefthimiou
- Infinity High School
7Point-Slope Form
y y1 m(x x1) m is the slope (x1, y1) is
a point on the line
8Write the equation of the line in point-slope
form with slope 3 that passes through (1, 5)
(x1, y1)
y y1 m(x x1)
9Write the equation of the line in point-slope
form with slope ¾ that passes through (-5, 3)
(x1, y1)
y y1 m(x x1)
10Write the equation of the line in slope-intercept
form
y y1 m(x x1)
11Write the equation of the line, in point-slope
form, passing through the points (4, 3) and (6,
8).
y y1 m(x x1)
Find the slope
let's use (4, 3)
12In point-slope form, write the equation of the
line passing through the points (-2, 6) and (3,
-1).
y y1 m(x x1)
Find the slope
let's use (-2, 6)
13In point-slope form, write the equation of the
line passing through the points (-2, 6) and (3,
-1).
y y1 m(x x1)
Find the slope
let's use (3, -1)
14Graph y 2 2(x 3) (HW Prob 8)
Graph the line using the points and slope
Find the slope
y
Find the x and y coordinates
x
15Graph y 5 3(x 2)
Graph the line using the points and slope
Find the slope
y
Find the x and y coordinates
x
16Graph y 1 (x 1)(HW Prob 9)
Graph the line using the points and slope
Find the slope
y
Find the x and y coordinates
x
17Why does the point-slope form work?
Find the slope between (x1, y1) and (x, y).
Reflexive propetry
Point-Slope Form