Find the slope of the line that passes through the points (3, 6) and (5, 3). Find the slope of a line that passes through the points (-3,-1) and (0, 3) The y - intercept of the line whose equation is 3x-2y=6 is

(3,6)    (5,3) (x1,y1)(x2,y2) The slope equation is: y2-y1                                  ---------                                   x2-x1 Replace with numbers: 3-6/5-3 Minus 3 and 6 is equal to -3 Minus 5-3 is 2  So the fraction is -3/2 (no need to divide because you can't simplify it) So the slope is -3/2 For the equation you have to replace the letters by 0's  3×0-2y=6 Times 3 and 0 0-2y=6 Now you want to get the y alone, so minus 0 from both sides     0-2y=6   -0      -0 -2y=6 Divide -2y from the 6 -2y=6 ----  ---   -2   -2 y=3  The y intercept is 3 with the slope of -3/2