The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –2/3x + 6. what is the point-slope form of the equation for this line? y – 3 = –2/3(x + 8) y + 3 = –2/3(x – 8) y + 8 = –2/3(x – 3) y – 8 = –2/3(x + 3)

I think the correct answer would be the last option. The correct point slope form would be y – 8 = –2/3(x + 3). To write  this, we only follow the general formula y - y1 = m(x -x1) where m is the slope which is -2/3 and x1 and y1 is the point given above. We do as follows:

y - y1 = m(x-x1)
y -  8 = -2/3 (x + 3)