Alg1 lesson 5-5
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This document discusses different forms for writing equations of lines, including slope-intercept form, point-slope form, and standard form. It provides examples of writing equations in these forms given information like the slope, y-intercept, and a point that the line passes through. It also shows that the slope-intercept and point-slope forms represent the same line. The document asks the reader to write equations in point-slope and standard form given parts of the equation.
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Alg1 lesson 5-5
- 1. Different ways to write equations of lines Slope-intercept form y = mx + b slope = –2 y-intercept: 5 y = –2x + 5
- 2. Different ways to write equations of lines Point-slope form y – y1 = m(x – x1) point: (4, –3) slope = –2 y – (–3) = –2(x – 4)
- 3. Are they the same??? Slope-Intercept form y = –2x + 5 Point-slope form y – (–3) = –2(x – 4) y + 3 = –2x + 8 -3 -3 y = –2x + 5
- 4. Write the point-slope form of an equation for a line that passes through (4, –3) with slope –2. Write the equation in slope-intercept form y + 3 = –2x + 8 -3 -3 y = –2x + 5 point-slope form slope-intercept form x1 y1 m y = mx + b
- 5. Write the point-slope form of an equation for a line that passes through (3, 5) with slope . Write the equation in slope-intercept form +5 +5 y = x + 1 point-slope form slope-intercept form x1 y1 y = mx + b
- 6. Different ways to write equations of lines Standard form Ax + By = C •no fractions in equation •x and y terms are on the left side Example: 5x + 2y = 10 is in standard form
- 7. Write in standard form. standard form Ax + By = C
- 8. Write in standard form. standard form: Ax + By = C y – 3 = 2x + 8 +3 +3 y = 2x + 11 slope-intercept form: y = mx + b point-slope form: y – y1 = m(x – x1) -2x -2x -2x + y = 11