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Students will be able to demonstrate their understanding of verifying points on a line and finding & y-intercepts given an equation or a graph by scoring at least 2 on their exit slip.
Objective
The y intercept is the point at which the graph of an equation crosses the y axis.
y
(0,3)
x
Notice that the x value is zero.
y = 2x + 3
To find the y-intercept, plug zero (0) in for “x” and solve for y.
The x intercept is the point at which the graph of an equation crosses the x axis.
y
(-3/2 ,0)
x
Notice that the y value is zero.
y = 2x + 3
To find the x- intercept, plug zero (0) in for “y” and solve for x.
Ex. Find the x and x intercepts.
1) y = 2x + 63) 3x + 3y = 6
5) 2x + 3y = 6
2) 5x – 6y = 84) 5x + 10y = 40
Ex 1: Which ordered pair or pairs are solutions of 2x -5y = 1
(7, -3) (-2, 1) (-7, -3) (-2, -1)
Verifying Points on a Line
Ex 2: Which ordered pair or pairs are solutions of 3x = y + 7?(2, -4) (-2, 3) (1, -2) (2, -1)
Ex 4: Which ordered pair or pairs are solutions to 8 -2y = 4x?
(0, -2) (2, 0) (1, -2) (-0.5, -3)
Verifying Points on a LineEx 3: Which ordered pairs are solutions of 3x + 3y = 0? (2, -2) (-2, 2) (1, -1) (-1, 1) (2, 2) (1, 1) (5, 5)
Find the x-intercept & y-intercept of the graph below
Find the x-intercept & y-intercept of the graph below
Find the x and y intercepts. 1) y = ½ x + 4 2) y = -2 x + 8
3) y = -3x - 4 4) y = 8x - 2
5) 2x + 3y = 6 6) 5x + 2y = 10
You try
Solutions
1)
y intercepty = ½ (0) + 4
y = 4(0,4)
x intercept0 = ½ x + 4
x = -8(-8,0)
2)
y intercepty = -2 (0) + 8
y = 8(0,8)
x intercept0 = -2 x + 8
x = 4(4,0)
3)
y intercepty = -3 (0) - 4
y = -4(0,-4)
x intercept0 = -3 x - 4
x = -4/3
(-4/3,0)
Solutions
4)
y intercepty = 8 (0) - 2
y = -2(0,-2)
x intercept0 = 8 x - 2
x = 1/4
(1/4,0)
5)
y intercept2(0) + 3y = 6
y = 2(0,2)
x intercept2x + 3(0) = 6
x = 3(3,0)
6)
y intercept5(0) + 2y = 10
y = 5(0,5)
x intercept5x + 2(0) = 10
x = 2(2,0)
1) Which ordered pair or pairs are solutions of 2x + 4y = 8?
(0, 2) (2, -1) (2, 0) (3, -0.5)
2) Which ordered pair or pairs are solutions of 8x – 4 = 3y?
(4, -2) (0, ½) (2, 4) (2/3, -3/4)
Verifying Points on a Line
x
y
Find the x-intercept & y-intercept of the graph below
x
y
Find the x-intercept & y-intercept of the graph below
Exit SlipFind the x and y intercepts. 1)-3x + 5y = 92)-2x - 3y = 10
3)4)
Exit Slip5) Which ordered pair or pairs are solutions of 3x + y = 8?(4, -4) (2, 2) (-8, 0) (3, -1) 6) Which ordered pair or pairs are solutions of 3x + 3y = 12?(-3, 1) (-4, 1) (1, 3) (-2, 5)
