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Section 7.4

Section 7.4. Slope-Intercept and Point-Slope Forms of a Linear Equation. SLOPE-INTERCEPT FORM. y = mx + b m represents the SLOPE (rise/run) b represents the Y-INTERCEPT –> (0, b). Given the equation, state the slope and the y- intecept :. 1. y = -x + 5 2. 3x + y = 4

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Section 7.4

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  1. Section 7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation

  2. SLOPE-INTERCEPT FORM • y = mx + b • m represents the SLOPE (rise/run) • b represents the Y-INTERCEPT –> (0, b)

  3. Given the equation, state the slope and the y-intecept: • 1. y = -x + 5 2. 3x + y = 4 • 3. 16y = 8x + 32 4. -x + 2y = 8

  4. Writing the equation from the graph: • Find where the line crosses the y-axis. This is the y-intercept, b. • Select 2 points on the line and COUNT for slope using Rise . This is m. Run • Plug m and b into y = mx + b

  5. Are the two lines parallel , perpendicular, or neither? • 1) 2x + 3y = 1 and y = -2 x + 3 3 • 2) 8x + 2y = 10 and x – 7 = 4y • 3) 5x – 6y = 18 and -6x + 5y = 10

  6. Ex: Write the equation • See graph paper

  7. To Graph using Slope-Intercept form: • 1. Rearrange into slope-intercept form if needed. • 2. Identify the y-intercept (0, b) and plot it. • 3. Beginning at b, move Up and Down, then to the Right for the slope (Rise/Run). • 4. Connect the points with a straight line.

  8. Graph • 1. 2x + 3y = 6 • 2. -2x + 5y = 10

  9. Point- Slope Form • Used to write the equation of a line when you are not given its graph. • y – y1 = m(x – x1) • m represents the slope • x1 and y1 represent coordinates from an point on the line • Simply plug in the m, x1, and y1 – then rearrange into slope-intercept form

  10. Write the equation of the line with the given properties: • 1. Slope = 3, through (0, -1) • 2. Slope = 2/3, through (3, 6) • 3. Through (-6, -2) and (5, -3) • 4. Through (3, 0) and (-3, 5)

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