# Shared Flashcard Set

## Details

Chapter Test Slope
slope
22
Mathematics
04/23/2011

Term
 How can you tell a set of lines are perpendicular?   30 seconds
Definition
 The slopes of the lines will be opposite (or negative) reciprocals.
Term
 How can you tell lines are parallel?   30 seconds
Definition
 The slope of the lines will be exactly the same.
Term
 58 is 29% of what number?   60 seconds
Definition
 Set up proportion.   58 is 29% of 200
Term
 Find the percent increase or decrease from 175 to 103.   60 seconds
Definition
 Set up a proportion.   There is a 16% increase.
Term
 Solve and check: x/(-15)-7=3   90 seconds
Definition
 Solve for x. x=-150 (-150/-15)-7=3 10-7=3 3=3
Term
 Solve and check:   -5x+8=228   90 seconds
Definition
 Solve for x x=-2.96   -5(-2.96)+8=22.8 14.8+8=22.8 22.8=22.8
Term
 Solve and check.   -6x+9+8x=-1   90 seconds
Definition
 x=-5   -6(-5)+9+8(-5)=-1 30+9-40=-1 -1=-1
Term
 Solve and check.   8x-12-2x=6+5x-3   90 seconds
Definition
 x=15   8(15)-12-2(15)=6+5(15)-3 120-12-30=6+75-3 78=78
Term
 Solve.  Then graph the solution set on a number line and check.   3a-15<3   2 minutes
Definition
 3a-15<3 a<6     Using 0 to check: 3(0)-15<3 -15<3
Term
 Solve.  Then graph the solution set on a number on a number line and check.   2 minutes
Definition
 x<=2     Using 0 for the check: 0+4-3*0>=-4 0+4>=-4 4>=-4
Term
 Solve for y, state the m, b, graph and check.   y+2x=1   2.5 minutes
Definition
 y=-2x+1, m=-2/1, b=1 check: (-1,3) 3+(2*-1)=1 3-2=1 1=1
Term
 Determine which of the ordered pairs is a solution for the system of equations below. (1,5),(3,7)   3y+3x=18 2y-2x=8   90 seconds
Definition
 3(5)+3(1)=18 15+3=18 18=18   2(5)-2(1)=8 10-2=8 8=8 (1,5)
Term
 What is the slope of the line that passes through the points (7,5), (1,8)?  Show your work.   90 seconds
Definition
 m=-1/2
Term
 Calculate the slope of the line in the following graph: 60 seconds
Definition
 m=-2/4=-1/2
Term
 Graph the line with a slope of -3/2 that passes through the y intercept of -2.   60 seconds
Definition
Term
 Graph the following inequality.  Name m, b, show check and shade.   y>=3x+2   3 minutes
Definition
 m=3/1, b=2
Term
 Graph the two equations to solve for x and y.  State m and b for each and name the point of intersection.  Check the point of intersection in both equations.   2x+2y=0 y=x+2   3 minutes
Definition
 equation 1: m=-1/1, b=0 equation 2: m=1/2, b=2 intersection (-1,1) check: 2(-1)+2(1)=0 -2+2=0, 0=0 1=-1+2, 1=1 It checks!
Term
 Explain in words how you can determine whether the ordered pair (1,2) is a solution of the system of equations below.    2x+y=4 -4x+10y=16   90 seconds
Definition
 You can determine whether the ordered pair (1,2) is a solution of the system of equations by plugging the x and y value in and seeing if the ordered pair checks for both equations.  If it checks for both, it is a solution, if it does not, it is not a solution.
Term
 What is the slope of a vertical line?  Why?     60 seconds
Definition
 The slope of a vertical line is either no slope or undefined because you cannot define by zero.  Check it on your calculators.
Term
 What is the slope of a horizontal line?   60 seconds
Definition
 0 or zero
Term
 Use the below equations to tell which lines are parallel or perpendicular.  line 1: y=3x+4 line 2: y=-4x+1 line 3: y=(-1/3)x-8 line 4: y=3x   90 seconds.
Definition
 line 1 and 3 are perpendicular line 3 and 4 are perpendicular line 1 and 4 are parallel
Term
 One line goes through the points (-1,-1) and (3, 7) and another goes through (2,0) and (6, -2).  Are these lines parallel or perpendicular?   3 minutes
Definition
 Slope of the first line: (2/1) Slope of the second line: (-1/2) They are perpendicular.  9i
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