March 12 Forms Of Lines
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There are three forms of lines: slope-intercept form (y=mx+b), standard form (ax+by+c=0), and neither of the above. Slope-intercept form provides the slope and y-intercept in a simple way. Standard form writes the line as a polynomial with everything on one side of the equation and x positive. Standard form can be found by converting slope-intercept form or by knowing two points that the line passes through.
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March 12 Forms Of Lines
- 2. Lines come in 3 forms 1) slope - intercept form y = mx + b 2) Standard Form ax + by + c = 0 3) neither of the above
- 3. Slope - Intercept Form is the most useful because it gives the most information in a simple manner y = mx + b m = slope b = y intercept
- 4. Standard Form is written as a polynomial, everything on one side of the equation, no fractions, and x positive.
- 5. Convert y = 4x + 5 to standard form 4x - y + 5 = 0
- 6. Convert y = -4/5x + 5 to standard form 4/5x + y - 5 = 0 4x + 5y -25 = 0
- 7. Find the equation of a line in standard form that passes through the following points (1,2) and (-4,5).