Answer:
Set it up using the slope from the two points. (c - (-5))/3 - 1 = slope = (c + 5)/2. Now put this into slope intercept since they give you the y intercept of 7. y = x*(c + 5)/2 + 7. Now put in the point, (1,-5). -5 = 1*(c+5)/2 + 7. Subtract 7 from both sides. Now multiply through and you can solve for c.
Step-by-step explanation: