15. Two forms for Equations of Lines Slope Intercept Form For a nonvertical line with slope m and y-intercept b the equation is y=mx+b Example: slope =2 y-intercept of 6 Y=2x +6 Point Slope Form For a nonvertical line with slope m that passes through (x 1 ,y 1 ) the equation is y-y 1 = m(x-x 1 ) Example: slope = -3 point on the line(-1,-2) Y-(-2)= -3(x-(-1)) Y+2= -3(x+1)
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17. Graph the linear equation y= 2/3x+4 First: Plot the y-intercept of 4 Rise by 2 units Run ( go to the right) by 3 units. Plot the second point (3, 6) Connect the two points with a straight edge or ruler. (0,4) (3,6)
30. Find x and y intercepts to graph a line 6x-2y=12 0 0 6x-2(0)=12 6x=12 X=2 (2,0) Y=-6 (0,-6) -2y=12 6(0)-2y=12 Y intercept so let x=0 X intercept so let y=0
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32. Example Find the x and y intercepts then graph using those points. X-4y-8=0