Respuesta :

Answer:

y= -2x+7

Here,

Two points given: (3,1) and (7,-7)

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{ - 7 - 1}{7 - 3} \\ \: \: \: \: \: \: \: \: \: = \frac{ - 8}{4} \\ \: \: \: \: \: \: \: \: \: \: = - 2 \\ [/tex]

Equation of line is y= Mx+b

y= -2x +b

It passes through (3,1)

[tex]1 = - 2(3) + b \\ 1 = - 6 + b \\ - b = - 6 - 1 \\ - b = - 7 \\ b = 7[/tex]

Equation of line:

y= -2x+7

Hope this helps..

Good luck on your assignment..