all you have to do is plug in the number's for example if you have (-6,9) and a slope of 7 you would follow this equation y=mx+b so just plug it in the slop is m so slope=m the y-intercept is just the y-coordinate or in this case the 9 and the x is -6 and you have to solve for b. so what you would do is write it out like so... 9=7(-6)+b see just plug it in then you multiply the 7 and the -6 and you get -42 so then you plug that in which would be 9=-42+b then to find be you add 42 because it is a negative and to get rid of a negative you add (aka do the opposite of the sign) so then you add 42 to both sides so -42+9= -33 so that's your b....so your answer to all this would be y=7x-33 and that's slope-intercept form