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Warm-up y = 2x + 2 Make a T-Table and graph the equation xy
Finding X and Y intercepts What is an intercept? Where the line crosses the x-axis. y x (0, 3) y-intercept = 3 (4, 0) x-intercept = 4 Where the line crosses the y-axis.
y x (0, 3) y-intercept = 3 (3, 0) x-intercept = 3 In your notes: 1.)
y x (0, -4) y-intercept = -4 (-1, 0) x-intercept = -1 In your notes: 2.)
X and Y Intercepts Plug in 0 for y – this is the x-intercept Plug in 0 for x – this is the y-intercept
Finding X intercepts y x (5, 0) x + y = 5 x + (0) = 5 x = 5
Finding X intercepts y x (7, 0) x - 3y = 7 x - 3(0) = 7 x = 7
Finding X intercepts y x (6, 0) 6x + 12y = 36 6x + 12(0) = 36 6x = 36 x = 6 6 6
Finding Y intercepts y x (0, -4) y = -3x - 4 y = -3(0) - 4 y = -4
Finding Y intercepts y x (0, 3) -3x + 6y = 18 -3(0) + 6y = 18 6y = 18 y = 3 6 6
Finding Y intercepts y x (0, 6) y = ½ x + 6 y = ½ (0) + 6 y = 6
Finding X and Y intercepts y x (0, 2) (3, 0) 2x + 3y = 6 2x + 3(0) = 6 2x = x = 3 2x + 3y = 6 2(0) + 3y = 6 3y = y = 2
Finding X and Y intercepts y x (0, 2) (4, 0) 4x + 8y = 16 4x + 8(0) = 16 4x = x = 4 4x + 8y = 16 4(0) + 8y = 16 8y = y = 2
Finding X and Y intercepts y x (0, -2) (4, 0) x - 2y = 4 x - 2(0) = 4 x = 4 x - 2y = 4 (0) - 2y = 4 -2y = 4 -2 y = -2
Finding x and y intercepts Find the x-intercept of the line X-intercept MEANS y = 0 - 3x + 2y = 9
Find the y-intercept of the line y-intercept MEANS x = 0 Finding x and y intercepts - 3x + 2y = 9
Cover up method 2x + 4y = 8 Solve for x and y. Hint: Cover up the 4y first. 2x = 8 x = 4 Hint: Cover up the 2x this time. 4y = 8 y = 2 y x
Use the Cover Up Method - 6x – 4y = 2 -6x = 2 x = -1/3 -6x – 4y = 2 -4y = 2 y= -1/2 (-1/3, -1/2) y x
M. Pickens 2006 Intercepts. M. Pickens 2006 Objectives To learn what intercepts are To learn how to find x and y-intercepts of a graph To learn how to.
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