Question 471413
{{{3x -2y = 18}}}
1.  x-intercept:  Let {{{y = 0}}}, substitute in place of {{{y}}} and then solve for {{{x}}}:  {{{3x = 18}}}, {{{x = 18/3}}}, {{{x=6}}}.
2.  y-intercept:  Let {{{x = 0}}}, substitute in place of {{{x}}} and then solve for {{{y}}}:  {{{-2y = 18}}}, {{{y = 18/-2}}}, {{{y=-9}}}
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3.  slope:  Put into slope intercept form:  Solve for {{{y}}}.  Add {{{-3x}}} to each side to get {{{-2y = -3x + 18}}}.  Now divide by (-2) to solve for {{{y}}}:  {{{y = (-3x + 18) / -2}}} but each term can be put over (-2) so we have {{{y = (3/2)x - 18/2 = (3/2)x -9}}} has form {{{y = mx + b}}} whre {{{m = 3/2}}} for the slope.  
4.  Slant:  If the slope is negative  we slant to the left \, if the slope is 0 we are horizontal __, If the slope is undefined we are vertical |, but we have a slope that is positive  and it will SLANT TO THE RIGHT /.
5.  Quadrants passing through:  This line will pass through Q1, QIII, and QIV and will not enter Q2.