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Linear equation 2 2

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• 1. 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
• 2. Writing an equation in Standard Form Ax + By = C
• 10y = 7x + 13
• The 1 st step is to multiply both sides by 10 .
• 3. 2.) Writing an equation in Standard Form Ax + By = C
• 10y = 7x + 13
• 10y -7x = 7x -7x + 13
• -7x + 10y = 13
• 4. 1.) Writing an equation in Standard Form Ax + By = C
• y = 2/5x - 3
• The 1 st step is to multiply both sides by 5 .
Why?
• 5. 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
• 6. Page 66 #s 27 - 38
• 7. 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?
• 8. 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)
• 9. 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)
• 10. 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, )
• 11. 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)
• 12. 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
• 13. 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
• 14. 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