Slope Review
 Slope is defined as the steepness of a line.Which of the following is a way to remember slope?Run over RiseSlow over FastFast over Slow Rise over Run If slope is equal to rise over the run, what is the slope of the line?-2/3 2/3-3/23/2Rise = -3Run =+2 If slope is equal to rise over the run, what is the slope of the line?Rise =+5Run=+33/5 5/3-3/5-5/3 Find the slope of the line.-1/22 -21/2 Find the slope of the line. 0 slopeundefined slope10-10 Find the slope of the line.0 slope3 -3undefined slope Find the slope of the line.4/3 -4/33/4-3/4 Undefined?Match each graph with the correct slope. Drag each.Positive?Negative?0 Slope? The slope of a line can be found only given two points as well.  If two points (x1, y1) and (x2, y2) are given,the slope can be found using the slope formula,which is:                                                                 y2 - y1                                x2 - x1m = Find the slope of the line that passes through the two points (7, 2) and (-4, -6).m =x1=7, y1=2             x2 = -4, y2 = -6y2 - y1x2 - x1-6-2-4-7=-8       8-11    11= Find the slope of the line that passes throughthe points (8, 3) and (2, 9).          9 - 3            6         2 - 8           -6== Find the slope of the line that passes through thepoints (7, -3) and (-4, 5).   5 - (-3)            -4 - 7                  -11= Find the slope of the line that passes through the two points (-2, 8) and (10, -4).    -4 - 8          -1210 - (-2)         12== Find the slope of the line that passes through the points (3a - 1, a + 1) and (a + 5, 2a - 3). (2a - 3) - (a + 1)     2a - 3 - a - 1       a - 4(a + 5) - (3a - 1)     a + 5 - 3a + 1   -2a + 6== Find the slope of the line that  passes through the points (3a - 1, a + 1) and (5a + 2, 2a + 1). (2a + 1) - (a + 1)        2a + 1 - a - 1            a(5a + 2) - (3a - 1)       5a + 2 - 3a + 1    == Remember, m/m = 1.Find the slope of the line that passes through the points (-3a, 7a) and (4a, 9a).m= Find the slope of the line that passes throughthe points (8, 6) and (-3, -3). Notice that the coordinates of a point on the x-axis will be (#, 0), where # stands for any number.  Alsonotice the coordinates of a point on the y-axis willbe (0, #), where # stands for any number.?(0, -2)y-int(3, 0)x-int If given an equation, you can then substitute 0 in forx when trying to find the y-intercept and also substitute 0 in for y when trying to find the y-intercept.Find the x-intercept:3x - 5(0) = 303x = 30x = 10      Given:3x - 5y = 30Find the y-intercept:3(0) - 5y = 30-5y = 30y = -6 Find the x-intercept:2x + 3(0) = -182x = -18x =       Given:2x + 3y = -18Find the y-intercept:2(0) + 3y = -183y = -18y = Find the x-interceptand y-intercept from the graph.x =y = Find the x-intercept and y-intercept of the given equation.x =     Given:4x - 5y = 60 y = When solved for y, a linear equation will be in theform y = mx + b.  Remember, m is the slope!What is the slope of the equation y = -4x + 8?The slope of y = -4x + 8 is -4.m What is the slope of the linear equation? y = 2 x - 6The slope of y = 2 x - 6 ism What is the slope of the linear equation? y = 3/4 x + 9m = Solve the equation 3x - 2y = -6 for y and then statethe slope of the line. 3x - 2y = -6-3x           -3x-2y = -3x - 6dvide by -2y = 3/2x + 3 The slope is 3/2. Solve the equation -x + 2y = 10 for y and then state the slope of the line. -x + 2y = 10+x            +x2y = x + 10Divide by 2 y = 1/2 x + 5 The slope of the line is The standard form of a linear equation isAx + By = C.Change y = -4x - 7 into standard form.    y = -4x - 7+4x   +4x 4x + y = -7 Change the equation y = 6x - 2 into standard form.     y = 6x - 2-6x    -6x -6x + y = -2 Change the equation y = 5x - 4 into standard form.    y = 5x - 4-5x   -5x                  + y = -4 You are now finished with your slope tutorial. Wasn't hard, was it!
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