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Algebra vocab unit 5

Unit 5 vocabulary words for test

Absolute value functions A function with a V-shaped graph that opens up or down. y=|x|
Constant of variation for direct variation The nonzero constant k in the function y=kx
Constant of variation for inverse variation The nonzero constant k in the function y=k/x
Direct variation A linear function defined by an equation of the form y=kx, where k≠0
Linear equation An equation whose graph forms a straight line.
Linear parent function The simplest form of a linear function. ex. y=x
Opposite reciprocals A number of the form -b/a, where a/b is a nonzero rational number. The product of a number and its opposite reciprocal is -1.
Parallel lines Two lines in the same plane that never intersect. They never have the same slope.
Parent function The simplest function with these characteristics. ex. y=x is the ___ ___ for the family of linear equations of the form y=mx+b
Perpendicular lines Lines the intersect to form right angles. Two lines are ___ if the product of their slope is -1.
Point-slope form A linear equation of a non-vertical line written as y-y1=m(x-x1). The line passes through the point (x1,y1) with slope m.
Rate of change The relationship between two quantities that are changing. Also called slope.
Slope The ratio of the vertical change to the horizontal change.
Slope-intercept form y=mx+b, where m is the slope of the line and b is the y-intercept.
Standard form of a linear equation Ax+By=C, where A, B, and C are real numbers and A and B are not zero
Translation A transformation that shifts a graph horizontally, vertically, or both.
X-intercept The x-coordinate of a point where a graph crosses the x-axis.
Y-intercept The y-coordinate of a point where a graph crosses the y-axis.
Created by: stillaninnocent