Math 101 Unit 1-
Terms
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- Distance
- square root (x2 - x1)^2 + (y2 - y1)^2
- Midpoint
- (x_{1} + _{x}/2, y_{1} + y_{2}/2)
- Circles--general form
- x^{2} + y^{2} + ax + by + c = 0
- Circles- Standard Form
- (x-h)^{2} + (y - k)^{2} = r^{2}
- Complete a perfect square
- (b/2)^{2}
- Slope
- y_{2}-y_{1} ------ x_{2}-x_{1} rise over run
- HOYVOX
- Horizontal lines have a slope of 0, Y = #, Vertical lines have Undifined slope, X = #
- Point slope form
- y - y_{1} = m(x-x_{1})
- Slope Intercept form
- y = mx + b
- General Form
- Ax + By = C
- Verticle Line
- x = a (undifined) a is the x-intercept
- Horizontal line
- y = h h is the y-intercept
- If a line is parallel, the system of equations...
- has NO solution, system is inconsistant
- if the line are parallel, the system has one solution, given the point of intersection,
- the system is consistent and the equation are independent.
- Parallel...
- NO solution
- Same...
- infinately many