Linear Equation (+, -, x) of a variable or constant

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Presentation transcript:

Linear Equation (+, -, x) of a variable or constant exponent of the variable is only 1 variables may not be multiplied variable cannot be the denominator graph of linear equation is always a straight line Page 66 #s 15 - 22

Writing an equation in Standard Form Ax + By = C 10y = 7x + 13 The 1st step is to multiply both sides by 10.

2.) Writing an equation in Standard Form Ax + By = C 10y = 7x + 13 10y -7x = 7x -7x + 13 -7x + 10y = 13

1.) Writing an equation in Standard Form Ax + By = C y = 2/5x - 3 The 1st step is to multiply both sides by 5. Why?

1.) Writing an equation in Standard Form Ax + By = C y = 2/5x - 3 (5)y = (2/5x - 3)5 5y = 2x - 15 5y -2x = 2x -2x - 15 -2x + 5y = -15

Page 66 #s 27 - 38

What does it mean to INTERCEPT a pass in football? The path of the defender crosses the path of the thrown football. In algebra, what are x- and y-intercepts?

What are the x- and y-intercepts? The x-intercept is where the graph crosses the x-axis. The y-coordinate is always 0. The y-intercept is where the graph crosses the y-axis. The x-coordinate is always 0. (2, 0) (0, 6)

Find the x- and y-intercepts. 1. x - 2y = 12 x-intercept: Plug in 0 for y. x - 2(0) = 12 x = 12; (12, 0) y-intercept: Plug in 0 for x. 0 - 2y = 12 y = -6; (0, -6)

Find the x- and y-intercepts. 2. -3x + 5y = 9 x-intercept: Plug in 0 for y. -3x - 5(0) = 9 -3x = 9 x = -3; (-3, 0) y-intercept: Plug in 0 for x. -3(0) + 5y = 9 5y = 9 y = ; (0, )

Find the x- and y-intercepts. 3. y = 7 ***Special case*** x-intercept: Plug in 0 for y. Does 0 = 7? No! There is no x-intercept. None What type of lines have no x-intercept? Horizontal! Remember VUXHOY? Horizontal lines…y = 7…y-int = (0, 7)

What is the x-intercept of 3x – 4y = 24? (3, 0) (8, 0) (0, -4) (0, -6) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

What is the y-intercept of -x + 2y = 8? (-1, 0) (-8, 0) (0, 2) (0, 4) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

What is the y-intercept of x = 3? (3, 0) (-3, 0) (0, 3) None 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32