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# Algebra Ch 5

### Foundations of Algebra Review Cards

QuestionAnswer
slope m = (y2-y1)/(x2-x1)
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.
Point-slope form of a line y - y1 = m (x - x1)
direct variation y = kx
Variation constant k; y/x = k
Write an equation in slope intercept form given the following: m = 2, b = -6 y = 2x - 6
Write the equation of a line that passes through the given points: (-5,5) and (1,-1) y = -1x + 0
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
Identify the slope and y-intercept. y = 5 + 3/4x m = 3/4 b = 5
Write the equation of a line that passes through the given points. (-4,-9) and (-8,0) y = -9/4x - 18
Write the equation of a line that has the given slope and passes through the point: m = 5; (-2,-3) y = 5x + 7
y-intercept The coordinate at which a graph intersects the y-axis.
Slope The steepness of a line
Zero Slope Horizontal Line
Positive Slope Line moves up from left to right
Negative Slope Line moves down from left to right
Y varies directly as x. What is the constant of variation when y = 14 when x = 2? k = 14/2 = 7
Y varies directly as x. What is the direct variation equation when y = 14 when x = 2? y = 7x
Y varies directly as x. Y = 3 when x = -2. What is the value of x when y = 12? x = -8
Name the slope and a point on the line y-3=2/3(x+5) m = 2/3; (-5,3)
Name a point on the line y+2=3(x+4) (-4,-2)
Name a point on the line y-10=-6(x-3) (3,10)
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!
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 :))
Undefined Slope Vertical Line
Created by: Rutledge