5 5b Slope Intercept Form from Two Points
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The document provides instructions for writing equations to represent lines given two points. It explains that you need the slope (m) and y-intercept (b) to write the equation in y=mx+b form. You find the slope using the rise over run formula from the two points. Then, plug the slope and the x and y values of one point into the equation to solve for b, the y-intercept. For example, given the points (2,4) and (5,7), the slope is 1, and the equation is y=x+2.
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5 5b Slope Intercept Form from Two Points
- 1. Writing equations from 2 points
- 2. You will be given 2 points: (2,4) (5,7) What do we already know about the line that these points are on from looking at the points? Both x & y go up. Slope is positive.
- 3. What do we know about the slope of each set of points: (2,4) (-5,-7) (2,4) (5,-7) (2,4) (2,-7) (2,4) (-5,4)
- 4. To write the equation y=mx+b Determine what you need You need m & b
- 5. 1 st: Find the slope (m)
- 6. 2 nd: Find b
- 7. Find slope of (2,4) (5,7) m = 1
- 8. Use the 1 st point so our work will look the same. Either point will do though Plug the m; x & y from the 1 st point into y=mx+b
- 9. y=mx+b 4=1(2)+b 4=2+b b=2
- 10. Now you have enough info to write the equation: m=1 & b=2 y=x+2
- 11. Examples: (2,6) (4,7) Y=1/2x+5 (-1,1) (2,7) Y=2x+3
- 12. Examples: (0,4) (-2,-2) Y=3x+4 (12,18) (15,12) Y=-2x+42