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CO-ORDINATE GEOMETRY, There are 2 ways to find the slope of a line,…
CO-ORDINATE GEOMETRY
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LINE SEGMENT
- The midpoint biscets a line segment i.e. splits it into 2 equal parts
SLOPES
- Slopes are always denotes by a lowercase "m"
- We use rise over run when we are given a graph and can read the slope over it.
- If we read from left to right and the graph is increasing, we say that the slope is positive.
If we read from left to right and see that the graph is decreasing we say that the slope is negative.
GRAPHING A LINE
GRAPHING A LINE WHEN WE HAVE A POINT AND A SLOPE:
1. Plot the point
2. Write the slope as rise/run
3. Go to the point you plotted and rise up the number of units in your slope
4. From the run the number of units from your slope.
- positive slope run to the right
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- There are 2 ways to find the slope of a line
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FOMRULA: ( (x1 + x2) / 2 , (y1 + y2) / 2 )
answer must be a point (x,y)
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PARALLEL LINES:
- If 2 lines are parallel, then they have the same slope . i . e . m1 = m2
- To find the slope of perpendicular lines, we flip the slope and change the sign
- To prove 2 lines are perpendicular, we multiply the slopes and should get -1 as our number
- negative slope run to the left.
- We can use the equation of a line to find information about that line
- To find points on a line, we sub in values of x to find value of y and then create the points (x,y)
- The points we find can be used in other parts of the question to find things like the slope, midpoint, or graph the line.
- To investigate if a point is on the line, we sub in our values of x and y
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