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Linear Equations Flash Cards

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
What is the slope of the line y = 12?   Zero  
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Point-Slope Form   y - y1 = m(x - x1)  
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Is the line x = 12 horizontal or vertical?   Vertical (Up and Down)  
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Slope Formula   m = (y2 - y1)/(x2 - x1)  
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What is the slope of the line x = 12?   Undefined  
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How do you find the equation of a line given a point and a slope?   Point-Slope Form: y-y1 = m(x-x1)  
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What is the equation of the vertical line through (5, 10)?   x = 5  
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How do you find the equation of a line given two points?   Find the slope of the line. Then, substitute the slope and one of the given points into point-slope form: y - y1 = m(x - x1).  
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What are the intercepts of the line 3x - 4y = 12?   (0, -3) and (4, 0)  
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What is the equation of the horizontal line through (5, 10)?   y = 10  
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Standard Form   ax + by = c  
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Slope Intercept Form   y = mx + b  
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Point Slope Form   y - y1 = m(x - x1)  
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What is the equation of a line with undefined slope and containing the point (-8, 6)?   x = -8  
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What is the most efficient way to graph a line in standard form, ax + by = c?   Find both intercepts, (0, y) and (x, 0).  
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What is the most efficient way to graph a line in slope intercept form, y = mx + b?   Plot the y-intercept then count out the slope, m = rise/run.  
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Is the line y = 7 horizontal or vertical?   Horizontal (straight across)  
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Distance Formula   D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]  
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Midpoint Formula   ( (x1 + x2)/2, (y1 + y2)/2 )  
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Direct Variation Equation   y = kx  
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Inverse Variation Equation   y = k/x  
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Steps for Solving a Variation Problem   1) Write variation equation. \\2) Substitute given x and y to find k. \\3) Substitute value of k into original equation. \\ 4) Substitute next x or y-value and solve for missing variable.  
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Created by: milesdl
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