580 likes | 733 Views
ALG 6.0 X Intercept & Y Intercept. WEEK 25 Thursday, Feb 13,2014. (1,6). (3,-2). DO Now. 10 Mins. Find your test key under Week 25 (ALG10.0_testkey). Show your work on a half piece of paper. Standard.
E N D
ALG 6.0 X Intercept & Y Intercept WEEK 25 Thursday, Feb 13,2014 (1,6) (3,-2)
DO Now 10 Mins Find your test key under Week 25 (ALG10.0_testkey). Show your work on a half piece of paper.
Standard Algebra1- 6.0: Students graph a linear equation and compute the x- and y- intercepts (e.g., graph 2x + 6y = 4).
Objective Huskies will be able to identify the x and y intercept from standard form.
STANDARD FORM Ax + By = C
STANDARD FORM Ax + By = C INTEGERS
EX #1: Graph 4x – 2y = 12
EX #1: Graph 4x – 2y = 12 4x – 2y = 12
EX #1: Graph4x – 2y = 12 4x – 2y = 12 -4x –4x
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 4x – 2y = 12 -4x –4x –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 y = 2x - 6
EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 y = 2x - 6 (0, -6)
EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 What is the value of x when it crosses the y-axis? y = 2x - 6 (0, -6)
EX #1: Graph 4x – 2y = 12 Q: 4x – 2y = 12 -4x –4x Where does the line cross the y-axis? –2y = -4x + 12 -2 –2 -2 What is the value of x when it crosses the y-axis? y = 2x - 6 (0, -6) x = 0
EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis?
EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis? (3,0)
EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis? What is the value of y when it crosses the x-axis? (3,0)
EX #1: Graph 4x – 2y = 12 Q: Where does the line cross the x-axis? What is the value of y when it crosses the x-axis? (3,0) y = 0
EX #2: Find the x & y-intercepts of 4x – 2y = 12
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12 -2y = 12
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12 -2y = 12 y = -6
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4x = 12 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4x = 12 x = 3 4(0) – 2y = 12 -2y = 12 y = -6 (0,-6)
EX #2: Find the x & y-intercepts of 4x – 2y = 12 y-intercept x-intercept x = 0 y = 0 4x – 2(0) = 12 4x = 12 x = 3 4(0) – 2y = 12 -2y = 12 y = -6 (3,0) (0,-6)
EX #2: Find the x & y-intercepts of 4x – 2y = 12 x-intercept (3,0) y-intercept (0,-6)
EX #2: Find the x & y-intercepts of 4x – 2y = 12 x-intercept (3,0) y-intercept (0,-6)
YT #1: Find the x & y-intercepts of 3x + 6y = 24 and then graph the line.
YT #1: Find the x & y-intercepts of 3x + 6y = 24 and then graph the line. y-intercept x = 0 3(0) + 6y = 24 6y = 24 y = 4 (0, 4) (0,4) (8,0) x-intercept y = 0 3x + 6(0) = 24 3x = 24 x = 8 (8,0)
ALG1 8 “PARALLEL LINES” y = 2x + 3 y = 2x - 5
PARALLEL LINES Coplanar lines that never intersect. Parallel (//) lines have the slope. y = 2x + 5 y = 2x + 1 same
EX #2: What is the slope of the line // to y = -3x + 5?
EX #2: What is the slope of the line // to y = -3x + 5? m// = -3
EX #2: What is the slope of the line // to y = -3x + 5? m// = -3 YT #2: What is the slope of the line // to x – 2y = 4?
EX #2: What is the slope of the line // to y = -3x + 5? m// = -3 YT #2: What is the slope of the line // to x – 2y = 4? y = x – 2
EX #2: What is the slope of the line // to y = -3x + 5? m// = -3 YT #2: What is the slope of the line // to x – 2y = 4? y = x – 2 m// =
EX #5: Are the lines y = x + 6 and 2x – 6y = 30 //?