Question

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

Answer 1

y =
`(3)/(2)`x +
`(5)/(2)`

✓ I believe you did do your work correctly

Explanation:

[] First, we will find the slope.

-> M =
`(y_(2)-y_(1) )/(x_(2)-x_(1))` or M =
`(y_(1)-y_(2) )/(x_(1)-x_(2))`

-> M =
`( 1-4)/(-1-1)=(-3)/(-2)=(3)/(2)`

[✓] 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 =
`(3)/(2)`x + b

-> 4 =
`(3)/(2)`(1) + b

-> 4 =
`(3)/(2)` + b

->
`(5)/(2)` = 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