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Warm Up 11/13/17

Warm Up 11/13/17 Find the slope of the line containing each pair of points. (0, 2) and (3, 4) Write the following equations in slope-intercept form. 2. y – 5 = 3( x + 2). Warm Up 11/13/17

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Warm Up 11/13/17

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  1. Warm Up 11/13/17 • Find the slope of the line containing each pair of points. • (0, 2) and (3, 4) • Write the following equations in slope-intercept form. • 2. y – 5 = 3(x + 2)

  2. Warm Up 11/13/17 • Find the slope of the line containing each pair of points. • (0, 2) and (3, 4) • Write the following equations in slope-intercept form. • 2. y – 5 = 3(x + 2) y = 3x + 11

  3. Point-Slope Form 4-7 Warm Up GIZMOS Lesson 4.7: Point-Slope Lesson Quiz Holt Algebra 1 Holt McDougal Algebra 1

  4. Essentoial Objectives • I can graph a line and write a linear equation using point-slope form. 2. I can write a linear equation given two points.

  5. For example: slope is 3and contains (2, 1) . (x1, y1) Substitute into the slope formula. Multiply both sides by (x - 2). POINT-SLOPE Equation

  6. Example: Writing Linear Equations in Point-Slope Form y – y1= m(x – x1) y – __= __(x – __) POINT-SLOPE Equation

  7. Example slope = –4; (0, 3) y – y1= m(x – x1) y –__=__(x – __) y –3 =–4(x –0) POINT-SLOPE Equation

  8. We do….. slope = 1; (–1, –4) y – y1= m(x – x1) y – __= 1(x – (–1)) y +4 =1(x +1) POINT-SLOPE Equation

  9. We do….. y – y1= m(x – x1) y – __= __(x – __)

  10. You do….. slope = 0; (3, –4) y – y1= m(x – x1) y – (__)= __(x – __)

  11. In Lesson 5-7, you graphed a line given its equation in slope-intercept form. You can also graph a line when given its equation in point-slope form.

  12. Example: Using Point-Slope Form to Graph Graph the line described by the equation. (2,5) y – 1= 2(x – 3) is in the (1,3) The line contains the point (3, 1). Step 1 Plot (3, 1). Step 2 Count 2 units upand 1 unit rightand plot another point.

  13. y – 4= (x – (–2)) slope: m = We do… Graph the line described by the equation. The line contains the point (–2, 4).

  14. You do…. Graph the line described by the equation. y + 3 = 0(x – 4) y – (–3)= 0(x – 4) The line contains the point (4, –3). slope: m = 0

  15. + 4 + 4 Example: Writing Linear Equations in Slope-Intercept Form Slope = 3, (–1, 4) is on the line. Step 1 Write the equation in point-slope form: y – y1 = m(x – x1) y – 4 = 3[x – (–1)] Step 2 solvier for y. y –4 = 3(x + 1) y – 4 = 3x + 3 y = 3x +7

  16. y + 6 = (x – 3) y = x + 4 Lesson Quiz: Write an equation in point-slope form for the line with the given slope that contains the given point. 1. Slope = –1; (0, 9) y − 9 = –(x − 0) 2. Slope = ; (3, –6) Write an equation that describes each line the slope-intercept form. 3. Slope = –2, (0, 1) is on the line y = –2x + 1 4. (0, 4) and (–7, 2) are on the line

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