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12 Cards in this Set
- Front
- Back
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midpoint of a segment
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average the X-coordinates and average the y-coordinates of the endpoints
Ex: Midpoint of AC: ((x1+y1)/2, (x2+y2)/2)) Midpoint of BD: ((x1+y1)/2, (x2+y2)/2)) |
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distance between two points
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sqrt[(x1-x2)^2+(y1-y2)^2]
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slope
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the "steepness" of a line
-Bigger slope number=steeper line -Positive slopes make uphill lines (left-right) -Negative slopes make downhill lines (left-right) |
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parallel lines
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lines with the same slope are parallel
parallel to the x-axis- m=0 parallel to the y-axis- m=undefined slope |
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perpendicular lines
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perpendicular lines have negative-reciprocal slopes
2 and -1/2 |
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graphing absolute value
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graphs often have bends in them
absolute value makes the number inside positive regardless use T-chart to graph points |
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graphing inequalities
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graph the line
pick a point on one side of the line, solve for that point. If it matches, then that side of the line will be shaded. |
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in the equatino y=mx+b, what does m and b define?
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y=mx+b,
m=slope b=y-intercept |
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Point of this chapter
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slopes and intercepts are descriptions of lines and points on the grid found via algebra.
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What does "has no intersection" mean?
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lines are parallel, which in turn means that the lines have the SAME slope.
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if two parallel lines hvae slope=2, what slope does the line perpendicular to them?
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slope= -1/2
perpendiculr lines have negative-reciprocal slopes. |
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When determing midpoints, how do you know which points go first?
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If line is going from Lower L to top R than Lower L goes first.
If line is going from top L to bottom R than top L goes first. |
