Answer:
Equation is 3y = x + 19
Step-by-step explanation:
General equation:
[tex]y = mx + c[/tex]
For slope, m:
[tex]m_{1} \times m_{2} = - 1[/tex]
but m1 is -3:
[tex] - 3m_{2} = - 1 \\ m_{2} = \frac{1}{3} [/tex]
For y-intercept, c:
[tex]y = mx + c \\ 6 = ( - 1 \times \frac{1}{3} ) + c \\ \\ c = 6 + \frac{1}{3} \\ \\ c = \frac{19}{3} [/tex]
equation:
[tex]{ \sf{y = \frac{1}{3}x + \frac{19}{3} }} \\ \\ 3y = x + 19[/tex]
