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Warm-Up 1

Warm-Up 1. Write the equation of a line in slope intercept form that has a slope of -3 and a y-intercept of 2. Write the equation of a line in slope intercept form that has a slope of 2 and a y-intercept of -5 Find the slope and y-intercept of the following:. Unit 4B Day 1. Standard Form

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Warm-Up 1

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  1. Warm-Up 1 • Write the equation of a line in slope intercept form that has a slope of -3 and a y-intercept of 2. • Write the equation of a line in slope intercept form that has a slope of 2 and a y-intercept of -5 Find the slope and y-intercept of the following:

  2. Unit 4B Day 1 Standard Form of an Equation

  3. Review: Slope – Intercept Form: y = mx + b m = Slope b = y-intercept

  4. Standard Form of an Equation Write the equation for STANDARD FORM: Ax + By = C A, B, and C must be whole numbers and A and B are both not zero

  5. Change to Standard Form • Examples of Standard Form • 3x + 5y = 3 • -2x + y = 7 • 2x − y =6 • EquationsNon-Examples • x = 6 − y • y = 2x + 7 • 2y = 4x +2

  6. When is Standard Form useful? • When you want to know the x-intercept • Writing equations. y-intercept – the y value of the point where the line crosses the y-axis x-intercept – the x value of the point where the line crosses the x-axis

  7. Examples Change each equation into Standard Form: • 2y = 4x – 6 • x + 7 = ½y • x = -3y - 8

  8. Try on your own: 4. 9x + 4 = -y 5. y = -5x + 1 6. ¼x – ¾y = -1

  9. Find the y-intercept 0 The y-intercept always occurs when x=___. To find the y-intercept of a line when the equation is in Ax + By = C, plug 0 into x in the equation and solve for the y value. This becomes the ordered pair for the y-intercept. (0, b)

  10. Find the y-intercept • 2x – y = -6 • -2x + 4y = 12

  11. On your own: 3. 7x – 14y = -56 4. -3x + 2y = 6

  12. Find the x-intercept 0 The x-intercept always occurs when y=___. To find the x-intercept of a line when the equation is in Ax + By = C, plug 0 into y in the equation and solve for the x value. This becomes the ordered pair for the x-intercept. (x, 0)

  13. Find the x-intercept • 2x – y = -6 • -2x + 4y = 12

  14. On your own: 3. 7x – 14y = -56 4. -3x + 2y = 6

  15. Complete Matching Activity in Pairs

  16. Write the equation of the situation:

  17. Classwork WS HW: 4.1

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