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|A coordinate point has value which corresponds to a point on the
"x" axis and a value which corresponds to a point on the "y" axis.
For example: If point A is at (3, 1) and point B is at (3, 4), what is the distance
between point A and point B?
STRATEGY: Draw the x axis and the y axis and plot the coordinate points.
Remember: The "x" axis is horizontal. The "y" axis is vertical.
Solution: Point A is 3 to the right and 1 up.
Point B is 3 to the right and 4 up.
The line connecting the two points is vertical,
and the distance between the two points is 3.
Example two: In a set of coordinates, point A is (0, 1) and point B is (3, 0).
What is the slope of the line connecting the two points?
STRATEGY: Remember: the slope of a line is the "rise" over the "run"
The rise is the difference between the y coordinate points,
and the run is the difference between the x coordinate points.
Solution: The "rise" is one minus zero or one. 1 - 0 = 1
The "run" is zero minus three or negative three. 0 - 3 = -3
The "slope" is one divided by negative three or negative one-third.
The answer is 1 / -3 or - 1 / 3
SAT TIP: Many SAT slope problems can be answered just by
knowing that a positive slope rises from left to right
and a negative slope falls from left to right.
Practice with these examples:
An easy problem for scores from 200 to 400
A moderate problem for scores from 400 to 600
A difficult problem for scores from 600 to 800
For more practice:
Click here for problems in The Official SAT Study Guide.
Click here to return to Web Book Access
|Many students believe the SAT is a test of advanced math, but the SAT
has only arithmetic, algebra, and geometry - no trigonometry or calculus.
|SAT TIP: In a pair of coordinate points,
read the "x" coordinate first
and the "y" coordinate second.
|Questions? Write the SATtutor@SATpreparation.net