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IC3 Ch.6 Vocab.
| Question | Answer |
|---|---|
| point of intersection | exact coordinate (x, y) where both lines cross each other |
| systems of equations | a set of two or more equations that share the same unknown variables, and a solution is the set of values that makes all the equations true at the same time |
| equal values method | an algebraic way to solve a system of linear equations and find the exact point where two lines intersect without graphing |
| solution | a value, or a set of values, that makes an equation, inequality, or system true when you substitute it for the unknown variables |
| substitute | an algebraic way to solve a system of equations by isolating one variable and plugging its value or expression into the other equation |
| parallel | straight lines in the same plane that are always the same distance apart and never touch or intersect |
| slope | measures the steepness and direction of a line |
| y-intercept | the point where a line or graph crosses the vertical y-axis on a coordinate plane |
| starting point | it is the value of y when x = 0 |
| growth rate | measures how much a specific variable changes over a designated period, expressed as a percentage of its starting value |
| slope triangle | right triangle drawn on a graph to help you find the steepness and direction of a line |
| lattice point | a position in a coordinate plane or grid where all the coordinates are integers |
| similar triangles | triangles that have the exact same shape—meaning their corresponding angles are equal—but they can be different sizes |
| proportional relationship | a link between two variables where their ratio stays constant as they change |
| ratio | a way to compare two or more numbers or quantities |
| constant of proportionality | fixed ratio (k) between two quantities that change together in a proportional relationship y=kx |
| unit rate | compares a quantity to one single unit of another quantity, showing how much of one thing exists for every 1 unit of another |
| y=mx+b | slope intercept form where slope is (m) and the y-intercept is (b) |
| trend line | a straight or curved line drawn on a graph or chart to show the general direction and pattern of data over time |
| scatterplot | a type of data display that uses dots to show the relationship between two numeric variables |
| data set | an organized collection of related data usually stored in tables, files, or digital records used for analysis |
| prediction | uses numbers and formulas to estimate future events based on past data |
| independent variable | a variable (often denoted by x ) whose variation does not depend on that of another |
| dependent variable | a variable (often denoted by y) is the factor that you measure, test, or observe in an experiment to see how it responds to changes in another factor |
| two-way table | grid-like charts used to organize and display data that fits into two different categories at the same time |
| categorical variable | a data type that puts information into distinct groups or categories instead of measuring it with numbers |
| numerical variable | a type of data that represents a measurable quantity or count, where the numbers carry a direct mathematical meaning |
| frequencies | the number of times a specific value, event, or item occurs within a data set |
| relative frequencies | the ratio of how many times a specific event or value occurs compared to the total number of trials or observations in a data set |