!!!! 100 POINTS !!! How would you go about solving this? Please provide formulae, rules, explanation / working out . Thank you in advance!

y=3/2x-1
This line increases 3 units on the y axis for every 2 units on the x axis, this means that its slope(rise/run) us equal to 3/2. Then, we also see that the y intercept, where the line crosses the y axis, is at y=-1, if we plug on the slope(m) and y intercept(c), we get y=3/2x-1