
Graphs of Lines in Slope Point Form Math Help Game Tips:  Each of the three lines represented by y=2x, y=3x, and y=4x passes through the point P(0,0). In general, a line 'y=mx' has slope 'm' and passes through the point (0,0).  The two lines represented by (y5)=2(x1) and (y5)=3(x1) will each pass through the point P(1,5). In general, a line yy_{1}=m(xx_{1}) has slope m and passes through the point P(x_{1},y_{1}).  When comparing the line y=2x to the line y5=2(x1), the two parallel lines have the same slope=2 and y5=2(x1) is shifted one unit East and five units North compared to y=2x. The line y5=2(x1) passes through the point P(1,5).  When comparing the line y=6x to the line y+7=6(x4), the two parallel lines have the same slope=6 and y+7=6(x4) is translated 4 units in the positive x direction and 7 units in the negative y direction. The line y+7=6(x4) passes through the point P(4,7).  When point P(x_{1},y_{1}) is on the yaxis, it can be represented as the point P(0,b) and the line yy_{1}=m(xx_{1}) becomes yb=m(x0) , which is equivalent to y=mx+b.  When point P(x_{1},y_{1}) is on the xaxis, it can be represented as the point P(a,0) and the line yy_{1}=m(xx_{1}) becomes y0=m(xa) , which is equivalent to y=m(xa).  The game can be played using the mouse by itself or using the keyboard by itself.  If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.  Adjust the game's speed by pressing the + or  key repeatedly. 
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