Question

Line b passes through the orgin and through the point (4,-3/2), write a eqation of the line that is parallel to line b and passes through the point (0,7). show all work, and report the answer in slope intercept form

Answer 1

Line B has slope m = (-3/2-0)/(4-0) = -3/8. The given point is the y-intercept (b = 7), so your equation is
  y = mx +b . . . . . . . don't confuse the intercept variable (b) with the name of the line (here I called it B)
  y = (-3/8)x +7

Answer 2

Y=-3/2x+7. Hope this helps!