Respuesta :

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

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