Linear Functions Word Scramble
|
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Question | Answer |
Linear Equation | An equation whose graph forms a straight line p.256 |
Linear Function | A function represented by a linear equation p.256 |
For any linear equation in two variables (like y=mx+b), all points on it's graph are... | solutions to the equation, and all solutions to the equation appear on the graph. p.257 |
Standard Form | Ax + By = C Where A, B and C are real numbers and A and B are not both zero. It is useful to find x- and y-intercepts. p.258 |
In a linear equation in two variables (like x and y) - for the equation to be linear, the three things to look for are: | 1) x and y both have exponents of 1 2) x and y are not multiplied together 3) x and y do not appear in denominators, exponents, or radical signs p.259 |
y-intercept | The y-coordinate of any point where a graph intersects the y-axis. The x-coordinate of this point is always zero. p.263 |
x-intercept | The x-coordinate of any point where a graph intersects the x-axis. The y-coordinate of this point is always zero. p.263 |
rate of change | Ratio that compares the amount of change in a dependent to an independent variable. change in dependent variable (y) m = ---------------------------------------------- change in independent variable (x) p.272 |
rise | the difference in the y-values of two points on a line p.272 |
run | the difference in the x-values of two points on a line p.272 |
slope of a line (m) | the ratio of rise to run for any two points on a line rise m = ---------- run p.272 |
Slope Formula | Y2 - Y1 m = --------------- X2 - X1 where (X1, Y1) and (X2, Y2) are two points on the line p.272 |
Positive Slope | Line rises from left to right p.273 |
Negative Slope | Line falls from left to right p. 273 |
Zero Slope | Horizontal line (like the floor) p.273 |
Undefined Slope | Vertical line (like a wall) p.273 |
Steepness of a slope | The bigger the absolute value of the slope, the steeper the slope. Slope of 4 is steeper up-slope than a slope of 1/2 Slope of -2 is steeper down-slope than a slope of -1 Slope of -3 is steeper than a slope of 3/4 p.275 |
Direct Variation | A special kind of linear relationship that can be written in the form: y = kx They always pass through the origin when graphed. p.282 |
Constant of Variation | In a direct variation, it is the non-zero constant value for "k" in the form: y = kx It is also the slope for the graph of the function and describes the rate of change. p.282 |
y k = ------ x | Formula to determine the constant of variation, and also the method for determining if a table of data is a Direct Variation (if the ratio is the same for every data pair) p.283 |
Slope - Intercept Form of a Linear Equation | y = mx + b where "m" is the slope of the equation's graph and "b" is the y-intercept p. 291 |
Point - Slope Form of a Linear Equation | y - y1 = m(x-x1) where "m" is the slope of the equation's graph and (x1, y1) are a point contained on the line p.298 |
Parallel Lines | Lines in the same plane that have no points in common - they never intersect p.304 |
Slopes of Parallel Lines | Slopes of parallel lines are equal - non-vertical lines must be parallel if they have the same slope p. 304 |
Perpendicular Lines | Lines that intersect to form right angles (90-degrees) p.306 |
Slopes of Perpendicular Lines | Slopes of perpendicular lines are opposite inverse of each other - non-vertical lines must be perpendicular if the product of their slopes is -1 p.306 |
Created by:
gklee
Popular Math sets