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WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM

WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM. December 4, 2013 Pages 302-305. Checking 5.2. 4. 6. 8. or 9.5 12. 14. 16. or. Checking 5.2. 24. 26. 28. 55. -4 56. 1 in. Write the number correct out of 11. Given a point and the slope. Step 1: Plot point

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WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM

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  1. WRITE LINEAR EQUATIONS IN POINT-SLOPE FORM December 4, 2013 Pages 302-305

  2. Checking 5.2 4. 6. 8. or 9.5 12. 14. 16. or

  3. Checking 5.2 24. 26. 28. 55. -4 56. 1in. Write the number correct out of 11.

  4. Given a point and the slope. Step 1: Plot point Step 2: Use the slope to move from point to another point. Step 3: Draw the line connecting the two points. *Moving points with slope: up or down, then move right

  5. 1. Write an equation in point-slope form of the line that passes through the point (4, –3) and has a slope of 2. Write point-slope form. y – y1 = m (x – x1) y + 3 = 2 (x – 4) Substitute2form,4 for x1, and–3 fory1.

  6. 2. Write an equation in point-slope form of the line that passes through the point (– 1, 4) and has a slope of –2 . y – y1 = m (x – x1) Write point-slope form. y – 4 = –2 (x +1) Substitute –2 for m,4 fory, and –1 forx.

  7. 2 SOLUTION 3 y+2 = (x – 3). Because the equation is in point-slope form, you know that the line has a slope of and passes through the point (3, –2). 2 3 3. Graph the equation. Plot the point (3, – 2). Find a second point on the line using the slope. Draw a line through both points.

  8. 4. Graph the equation. – y–1 = (x – 2) SOLUTION Because the equation is in point-slope form, you know that the line has a slope of –1 and passes through the point (2, 1). Plot the point (2, 1). Find a second point on the line using the slope. Draw a line through both points.

  9. 5. Write an equation in point-slope form of the line shown.

  10. 3 –1 y1 – y2 2 = = m = = – 1 – 1 –1 x1 – x2 – 2 SOLUTION STEP1 Find the slope of the line.

  11. STEP 2 Write the equation in point-slope form. You can us either given point. Method 1 Method 2 Use (– 1, 3). Use (1, 1). y – y1 = m(x – x1) y – y1 = m(x – x1) y –3 =– (x +1) y –1 =– (x – 1) CHECK Check that the equations are equivalent by writing them in slope-intercept form. y – 3 = –x – 1 y – 1 = –x + 1 y = –x + 2 y = –x + 2

  12. 6. Write an equation in point-slope form of the line that passes through the points (2, 3) and (4, 4). 1 = 2 4 –3 y2 – y1 = = m 4 –2 x2 – x4 STEP1 Find the slope of the line.

  13. 1 1 2 2 y –3 =(x – 2) y –4 = (x – 4) STEP 2 Write the equation in point-slope form. You can us either given point. Method 1 Method 2 Use (2, 3) Use (4, 4) y – y1 = m(x – x1) y – y1 = m(x – x1)

  14. HOMEWORK Worksheet P 5.3

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