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18 Cards in this Set
- Front
- Back
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How do you graph linear equations?
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by plotting ordered pairs
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How many ordered pairs satisfy linear equations in two variables?
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infinite
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What is graphing?
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The process of plotting the ordered pairs and drawing a line through the corresponding points.
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The line is called the ________
of the equation. |
graph
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the line gives a _________ of all the solutions of a linear equation.
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picture
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Every point on the line represents a ___________ of the equation, and every solution of the equation _______ to a point on the line.
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solution,
corresponds |
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What is a straight line?
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The graph of any linear equation with two variables.
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How do you graph a straight line?
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by finding any two different points on the line. However it is a good idea to find a 3rd point as a check.
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What is the x-intercept?
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A point where a graph intersects the x-axis, and is represented by (x,0)
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What is the y-intercept?
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A point where a graph intersects the y-axis, and is represented by (0,y)
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Why are the x & y intercepts important?
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they are very useful in graphing linear equations.
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How do you find the x & y intercepts?
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the intercepts are found by replacing, in turn, each variable with 0 in the equation and solving for the value of the other variable.
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What is a horizontal line?
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The graph of a linear equation y = k, where k is a real number, is a horizontal line with y-intercept (0,k) and no x-intercept.
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What is a vertical line?
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The graph of the linear equation x = k, where k is a real number, is the vertical line with x-intercept (k,0) and no y-intercept.
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How can you avoid confusion when working with equations of horizontal and vertical lines.
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Remember;
the graph of y = k is parallel to the a-axis the graph of x = k is parallel to the y-axis |
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What is a graph of an equation?
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Is the collection of all its solutions.
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What is a linear equation in Standard Form?
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Ax + By = C
where, A, B, C are real numbers, and A or B are not equal to zero. |
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What is linear equation in Slope Intercept Form
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y = mx + b
where, m equals the slope, and b equals the y-intercept |
