did i solve this equation right? if i didnt what did i do wrong/whats the right answer?

Answer:
y = [tex]\frac{3}{2}[/tex]x + [tex]\frac{5}{2}[/tex]
✓ I believe you did do your work correctly
Step-by-step explanation:
[] First, we will find the slope.
-> M = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex] or M = [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex]
-> M = [tex]\frac{ 1-4}{-1-1}=\frac{-3}{-2}=\frac{3}{2}[/tex]
[✓] Good job, you appear to have done the slope correctly
[] Next, we will solve for the y-intercept
-> This can be found by taking what we have so far of our equation, plugging a point in, and solving for b
-> y = [tex]\frac{3}{2}[/tex]x + b
-> 4 = [tex]\frac{3}{2}[/tex](1) + b
-> 4 = [tex]\frac{3}{2}[/tex] + b
-> [tex]\frac{5}{2}[/tex] = b
[✓] Fantastic, it appears you have correctly found the y-intercept as well
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather