Given the graph of a line, write the equation | The equation of a line has the form y = mx + b Where x is first/domain/horizontal/left in an ordered pair Where y is last/range/vertical/right in an ordered pair Where m is the slope Where b is the y-intercept |
m = slope means steepness | Rise over run, rise divided by run (Y1 minus y2) divided by (x1 minus x2) Slope measures steepness of the line |
Slope uphill | Look at the line and its points from left to right, they go up m is positive |
Slope downhill | Look at the line and its points from left to right, they go down m is negative |
Easiest points | Points which have x or y as zero (0, y) (x, 0) |
Easy points | Points on the corners of the grid squares |
Draw stairsteps | A way to see the rise and run |
Drop is a negative rise | If the graph goes downhill, the rise is negative |
(L, R) is alphabetical | x/domain/horizontal are earlier in the alphabet than y/range/vertical |
The meaning of y –intercept which equals b | How high or low the graph of the line is compared to the origin Where the graph crosses (intercepts) the y-axis (vertical axis) The number term added to the mx term The value of y when x = 0 (0, b) |
(picture) | y = 2x - 2 because the rise is 2 and the run is 1 because the graph crosses the y-axis at -2 |
Wednesday, August 24, 2011
Given the graph of a line, write the equation
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