Download 9/19 Notes with Answers

Day 10
Geometry
Warm Up
1) Solve for y 3x – 2y = 6
2) Put the following into slope-intercept form and graph
y – 5 = 4 (x + 2)
Homework Check
 Show answers to Slope Worksheet / Graphs
Learning Objective
 G-GPE-5 - Prove the slope criteria for parallel and
perpendicular lines and use them to solve geometric
problems (e.g., find the equation of a line parallel or
perpendicular to a given line that passes through a
given point).
Note #12
Point-Slope Form of a Linear Equation
y – y1 = m(x – x1)
Given slope (m) and a point (x1 , y1)
Ex. Write the equation of the line through the point
(–1,4) with slope of 3 in both point-slope form and
slope intercept form.
Note #12 (continued)
 Ex. Write an equation in point-slope and slope-intercept
form of the line with slope –8 that contains the point
(3, –6).
Note #12 (continued)
 Write the equation of a line through the points (–2,3)
and (1, –1).
First find the slope.
Then use one of the two points and write the
equation using point-slope form and slopeintercept form.
Note #12 (continued)
You Try:
Write an equation in point-slope form and slopeintercept form of the line that contains the points (4, –9)
and (–1,1).
Note 13
Standard Form of a linear equation
Ax + By = C
A, B, and C cannot be fractions
A is always a positive number
Note #13 (continued)
Convert y = –2x + 5 to standard form
Convert y = (3/5)x – 7 to standard form
Note #13 (continued)
Graphing from Standard Form using Intercepts
x–intercept =
y–intercept =
Note #13 (continued)
Find the x and y intercepts of the equation
3x + 4y = 12
Note #13 (continued)
Find the intercepts of the equation and then graph the line
2x + 3y = 6
Note #13 (continued)
Find the intercepts of the equation
1/3x + 5/6y = –3/2
Exit Slip
1) Write an equation in point-slope form that goes through
the points (1, –4) and (3,2).
2) Graph the equation 3x – 2y = 12 using the intercept
method
Homework: P. 155 #11 – 22 All