today in algebra 2.0… learning goal 1: 2.4 you will write equations of lines independent...
TRANSCRIPT
TODAY IN ALGEBRA 2.0…
Learning Goal 1: 2.4 You will write equations of lines
Independent Practice-Assignment #4
Learning Goal 2: COE – If I only had a car Application Practice
Ch. 2 Quiz – Friday!
2.4 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM STARTING WITH A GRAPH!
y-intercept
𝑠𝑙𝑜𝑝𝑒=𝑟𝑖𝑠𝑒𝑟𝑢𝑛
23
23 1
2.4 WRITING LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM STARTING WITH A GRAPH!
PRACTICE: Write an equation of the line shown.
5
3
4
−3
−4 −1
REMEMBER:
𝑚→𝑏→
2.4 CALCULATING THE Y-INTERCEPT: Given a point and slope.Write an equation of the line that passes through the point and has a slope of .
1. Find slope: 2. Calculate the y-intercept:
GIVEN!!!!!
−4−1
𝑥𝑦
2 −9
REMEMBER:
𝑚→𝑏→
2.4 CALCULATING THE Y-INTERCEPT: Given a point and slope.PRACTICE: Write an equation of the line that passes through the point and has a slope of .
1. Find slope: 2. Calculate the y-intercept:
GIVEN!!!!!
2−9
𝑥𝑦
2.4 PARALLEL AND PERPENDICULAR LINESPARALLEL LINES: PERPENDICULAR LINES:
21
4
2
𝑚=12
𝑚=24
¿12
PARALLEL LINES HAVE THE SAME SLOPE
12
𝑚=12
−21𝑚=
−21¿−2
PERPENDICULAR LINES HAVE SLOPES THAT ARE NEGATIVE RECIPROCALS
2.4 PARALLEL AND PERPENDICULAR LINESPRACTICE: Determine the parallel and perpendicular slopes for the following equations
1. 2. 3.
Parallel: Parallel:
Perpendicular: Perpendicular:
Parallel:
Perpendicular:
𝒎=𝟑𝟏
1
Slope for y first!
−𝟏
𝒎=−𝟏𝟏
¿𝟏
−4 −1
REMEMBER:
𝑚→𝑏→
2.4 EQUATIONS OF PARALLEL LINES: Given a point and slope.Write an equation of the line that passes through the point and is parallel to the line .
1. Find slope: 2. Calculate the y-intercept:
SAME SLOPE!!!!!
−4−1
𝑥𝑦
−3
REMEMBER:
𝑚→𝑏→
2.4 EQNS OF PERPENDICULAR LINES: Given point and slope.Write an equation of the line that passes through the point and is perpendicular to the line .
1. Find slope:
2. Calculate the y-intercept:
NEGATIVE RECIPROCAL!!!!!
−3
𝑥 𝑦
𝑦=𝑥+¿ 4
REMEMBER:
𝑚→𝑏→
2.4 EQNS OF PERPENDICULAR LINES: Given point and slope.Write an equation of the line that passes through the point and is perpendicular to the line .
1. Find slope:
2. Calculate the y-intercept:
NEGATIVE RECIPROCAL!!!!!
4
𝑥𝑦
1 −3
REMEMBER:
𝑚→𝑏→
2.4 CALCULATING SLOPE AND Y-INTERCEPT: Given 2 points.Write an equation of the line that passes through the given points:
(−𝟐 ,−𝟓 ) , (𝟐 ,−𝟏)1. Calculate slope:
2. Calculate the y-intercept:
−1−(−5)2−(−2) 1
−3
𝑥 𝑦
−1 −1
REMEMBER:
𝑚→𝑏→
2.4 CALCULATING SLOPE AND Y-INTERCEPT: Given 2 points.PRACTICE: Write an equation of the line that passes through the given points:
(𝟏 ,−𝟐 ) ,(−𝟓 ,𝟒)1. Calculate slope:
2. Calculate the y-intercept:
4−(−2)−5−1 −1
−1
𝑥 𝑦
𝑓 (𝑥)=𝑥+¿ 6
REMEMBER:
𝑚→𝑏→
Write an equation for the linear function with the values and
(−𝟐 ,𝟏𝟎 ) ,(𝟒 ,−𝟐)
−26
2.4 CALCULATING SLOPE AND Y-INTERCEPT: Given 2 points.
1. Calculate slope:
2. Calculate the y-intercept:
𝑥 𝑦−2−104−(−2)
IN CLASS WORK #4:
Pg. 101: 13-16, 21-25, 29-31
Due in class
Previous In Class Assignments:
#1: Pg. 76: 7-9, 12-13, 16-17, 20-23#2: Pg. 86: 9-21, 29-31, 41-42, 45#3: Pg. 93: 12-17, 35-37
COE:If I only had a car