find the slope of the line described by x - 3y =-6.
y = mx + bThat is your goalx - 3y = -6So first, subtract the x over to the other side-3y = -x - 6Then divide the whole equation by -3y = 1/3x + 2This is now in the format of y = mx + bm: slopeB: y-interceptm/slope: 1/3
in slope-intercept form which is y=mx+bwhere m=slopeb=y-interceptso get into slope intercept formx-3y=-6add 3y to both sidesx=3y-6add 6 to both sidesx+6=3ydivide both sides by 31/3x+2=y ory=1/3x+2y=mx+bm=slopeslope=1/3
