A mathematical sentence that contains an equal sign. Equations are solved using inverse operations to isolate a variable.
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Zero Slope
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When the change in the output is zero.
Zero divided by any number is still zero.
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undefined
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No solution or something we CANNOT do in mathematics. An example is division by zero.
The slope of a vertical line is undefined because the change in the input would be zero and we cannot divide by zero.
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quadrants
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Four regions into which a coordinate plane is divided by the x-axis and the y-axis.
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slope
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A RATIO comparing the change in output over the change in input of a line.
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ordered pair
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A pair of numbers used to locate a point on the coordinate plane. (x , y) Also called a coordinate.
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y-intercept
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Algebraically, the value of the output when the input is zero (0, y).
Graphically, the point where a graph crosses the y-axis.
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graph
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A collection of ordered pairs that show a relationship between two things.
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domain
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All possible inputs of a function.
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vertical line
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A line whose slope is undefined.
Vertical lines do NOT represent functions.
Equation: x = some number
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x-intercept
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Algebraically, the value of the input when the output is zero (x, 0).
Graphically, the point where a graph crosses the x-axis.
Also called roots, zeros or solutions.
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variable
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A letter or symbol that represents a number.
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constant
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A value that does not change.
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linear equation
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An equation in two variables whose graph in a coordinate plane is a straight line.
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evaluate
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To find the output of a function for a given input.
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standard form
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Form for a linear equation: Ax + By = C
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coefficient
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A number multiplied by a variable in an algebraic expression or equation.
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slope-intercept form
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Form for a linear equation: y = mx + b
"m" represents the slope of the line
"b" represents the y-intercept of the line