Respuesta :

Answer:

[tex]y=-\frac{5}{3}x-2[/tex]

Step-by-step explanation:

line equation in general y = mx + b

m is the slope, and

b is the y-intercept

3=-3m+b

-7=3m+b

if we plus this two equations

3-7=2b

2b=-4

b=-2

3m=b-3=-5

m=-5/3

So,

[tex]y=-\frac{5}{3}x-2[/tex]

Answer:

[tex]y=-\frac{5}{3} x+8[/tex]

Step-by-step explanation:

Slope= [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]

=[tex]\frac{3-(-7)}{-3-3}[/tex]

=[tex]\frac{10}{-6}[/tex]

=[tex]-\frac{5}{3}[/tex]

So [tex]3=-\frac{5}{3} *(-3)+b[/tex], b=8

So [tex]y=-\frac{5}{3} x+8[/tex]