ACT Ch14
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Created by:
forever_13 on October 25, 2011
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Description:
Graphing and Coordinate Geometry
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30 terms
Terms | Definitions |
|---|---|
 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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