ACT Ch14

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forever_13  on October 25, 2011

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Graphing and Coordinate Geometry

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ACT Ch14

 How many questions on the ACT Math test deal with coordinate geometry?9
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How many questions on the ACT Math test deal with coordinate geometry? 9
On a number line, what does an open circle mean? The point is not included in the graph.
On a number line, what does a solid dot mean? The point is included on the graph.
When does the sign flip in an inequality? When it is multiplied or divided by a negative.
Most equations with two variables are graphed on what kind of grid? Cartesian grid.
What are the two variables on more complicated graphing questions? x and y
How can point A (3, 4) be graphed? By counting over on the x-axis 3 places to the right of the origin and then counting on the y-axis 4 places up from the origin.
Point (0, 0) is known ass..? The origin.
How can point B (5, -2) be graphed? By counting 5 places to the right on the x-axis and down 2 places on the y-axis.
How can point C (-4, -1) be graphed? By counting 4 places to the left of the origin on the x-axis and 1 place down on the y-axis.
How many quadrants are on a grid? 4
In the first quadrant....? x and y are both positive.
In the second quadrant..? x is negative and y is positive.
In the third quadrant...? x and y are both negative.
In the fourth quadrant...? x is positive and y is negative.
In what order do the quadrants go on a grid? Counterclockwise.
When would it be best to guesstimate an answer to a graphing problem? When ACT writers make a more complicated question where graphing is involved.
What is the y-intercept formula? y = mx + b
What is the slope of an equation? The number that tells how sharply a line is inclining. (is equivalent to the variable m in the equation)
How do you find the x-intercept? Set y equal to 0 and solve for x.
What is the y-intercept of an equation? The point at which the line intercepts the y-axis. (equivalent to the variable b in the equation)
Positive Slope A line going from bottom left to upper right
Negative Slope A line going from top left to bottom right
What is the slope formula? Slope = (change in y) / (change in x)
How do you find the midpoint of a line? Use the midpoint formula (take the average of the two x-coordinates and the average of the two y-coordinates)
How can you find the distance between between two points? Use the distance formula.
What is an easier way to find the distance between two points? Think of that distance as being the hypotenuse of a right triangle.
It is helpful to have an idea of...? Circles, Elipses, and Parabolas
Try to remember the basic equation of ...? A circle : (x-h)^2 + (y-k)^2 = r^2
What is the equation of a parabola? y = x^2

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