Question 54954
Write the equation of the line slope-intercept form ({{{highlight(y=mx+b)}}} where m=slope and (0,b)=y-intercept.) if the slope is 2/3 and (9,3) is a point on the line.
The formula you use when given a point and a slope and asked for the equation of the line is the point-slope formula: {{{highlight(y-y1=m(x-x1))}}} Where m=slope and the point you're given is (x1,y1).
Your slope is m=2/3 and your point (x1,y1)=(9,3)
{{{y-3=(2/3)(x-9)}}}
{{{y-3=2x/3-18/3}}}
{{{y-3=2x/3-6}}}
{{{y-3+3=2x/3-6+3}}}
{{{highlight(y=2x/3-3)}}}
Happy Calculating!!!!