Foundations of Algebra Review Cards
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| slope | m = (y2-y1)/(x2-x1)
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| slope-intercept form of a line | The equation of the form y = mx + b, where m is the slope and b is the y-intercept.
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| Point-slope form of a line | y - y1 = m (x - x1)
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| direct variation | y = kx
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| Variation constant | k; y/x = k
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| Write an equation in slope intercept form given the following: m = 2, b = -6 | y = 2x - 6
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| Write the equation of a line that passes through the given points: (-5,5) and (1,-1) | y = -1x + 0
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| Write the equation of a line that has the given slope and passes through the point: m = -2/3; (9,-6) | y + 6 = -2/3(x-9) Or y = -2/3x + 0
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| Identify the slope and y-intercept. y = 5 + 3/4x | m = 3/4 b = 5
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| Write the equation of a line that passes through the given points. (-4,-9) and (-8,0) | y = -9/4x - 18
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| Write the equation of a line that has the given slope and passes through the point: m = 5; (-2,-3) | y = 5x + 7
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| y-intercept | The coordinate at which a graph intersects the y-axis.
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| Slope | The steepness of a line
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| Zero Slope | Horizontal Line
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| Positive Slope | Line moves up from left to right
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| Negative Slope | Line moves down from left to right
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| Y varies directly as x. What is the constant of variation when y = 14 when x = 2? | k = 14/2 = 7
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| Y varies directly as x. What is the direct variation equation when y = 14 when x = 2? | y = 7x
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| Y varies directly as x. Y = 3 when x = -2. What is the value of x when y = 12? | x = -8
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| Name the slope and a point on the line y-3=2/3(x+5) | m = 2/3; (-5,3)
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| Name a point on the line y+2=3(x+4) | (-4,-2)
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| Name a point on the line y-10=-6(x-3) | (3,10)
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| Graph | You will need to graph a line in the coordinate plane. Start with the y-intercept (b) and follow your slope rule to plot new points. Don't forget to connect the points to form a continuous graph!
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| You | are awesome! Thank you for studying for the test tomorrow! (Mention this message to me in private or write me a note on the test tomorrow for 1 bonus point :))
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| Undefined Slope | Vertical Line
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Created by:
Rutledge
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