How do you find the slope and intercept of #-2x+3y-6=0#?
One form of the equation of a straight line is y = mx + c , where m represents the gradient (slope) of the line and c , the y-intercept.
What makes this form useful is that m and c may be extracted quite 'easily'.
Rearrange - 2x + 3y - 6 = 0 into this form.
hence: 3y = 2x + 6
divide both sides by 3 to obtain
# y = 2/3 x + 2#
#rArr "slope" = 2/3 " and y-intercept" = 2#
Slope of the given equation is