Term
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Definition
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A plane which is formed by two real number lines that intersect at a right angle.
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Term
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Definition
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A pair of numbers used to identify a point in a plane
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Term
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Definition
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One of 4 parts into which the axes divide a coordinate plane.
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Term
| If an ordered pair is in the first quadrant, what are the signs of x and y? |
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Definition
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Term
| If an ordered pair is in the second quadrant, what are the signs of x and y? |
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Definition
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x is negative and y is positive
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Term
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Definition
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A graph of pairs of numbers that represent real-life situations as a method to analyze the relationship between two quantities.
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Term
| What are three relationships you can determine from a scatter plot? |
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Definition
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positive, negative, no linear relationship
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Term
| If there is a positive relationship in a scatter plot and the x values are increasing, what can you determine about the y values? |
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Definition
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Term
What is all of the solution of the following equation:
y = 3x + 6 |
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Definition
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a line of slope 3 and y-intercept 6
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Term
| Why is the solution of any equation in the form y = mx + b a line? |
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Definition
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There are infinite number of solutions. However, for every x value there is one y value that is a solution. This relationship creates a line.
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Term
| Name 4 methods of graphing a line. |
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Definition
1. Calculator
2. Pick 3 x values and find matching y values
3. Graph b and use m to find more points
4. Find the x-intercept and y-intercept
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Term
| If you are using m and b to graph a line, how do you use m to find more points. |
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Definition
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Go to b on the graph go right by the denominator and up or down by the numinerator.
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Term
| How do you find the x-intercept? |
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Definition
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Make y = 0, and find solve for x.
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Term
| How do you find the y-intercept? |
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Definition
1. put equation in y= form and b is y-intercept
2. make x = 0 and solve for y
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Term
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Definition
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The number of units a nonvertical line rises or falls for each unit of horizontal change from left to right.
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Term
| Why is slope often defined as rise/run? |
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Definition
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Because to find the slope you find the change in the vertical value (rise) divided by the change in the horizontal value (run)
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Term
| What is the formula for the slope? |
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Definition
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Term
| What is the slope of a line that is vertical? |
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Definition
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Term
| Describe a line with a positive slope. |
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Definition
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Term
| Describe a line with a negative slope. |
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Definition
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line falls from left to right
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Term
| Describe the line with the equation y = 4 |
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Definition
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it is a horizontal line with zero slope through the point 4
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Term
| Describe the line with the equation x = -2 |
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Definition
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It is a vertical line with an undefined slope through the point -2
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Term
| How can you solve a one variable equation with a graph? |
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Definition
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graph it as if y = the equation and find the x-intercept
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Term
| What do you need to write an equation of a line in y=mx+b form? |
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Definition
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Term
| If you know the slope and one point on the line, how can you find b? |
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Definition
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Replace m in the equation y = mx + b and use the point in x and y temporily to find b.
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Term
| How can you determine if two lines are parallel? |
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Definition
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Term
| How can you determine if two lines are perpendicular? |
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Definition
If you multiple their slope it equals -1.
or the slope are opposite recipricals of each other
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Term
| Name an equation of a line that is perpendicular to x = 3 |
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Definition
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