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8. Write an equation parallel to
x - 3y = 9 that passes through the point (3,-1).

Sagot :

Answer: y = (1/3)x-2

Step-by-step explanation:

You can rearrage the equation to:

[tex]3y=x-9[/tex]

Then solve for y:

[tex]y=\frac{1}{3} x-3[/tex]

We now have our slope of 1/3. We can plug in our point and slope to the equation y=mx+b to get the y-intercept:

[tex]-1=\frac{1}{3}(3)+b[/tex]

[tex]-1=1+b[/tex]

[tex]b=-2[/tex]

Now we have our slope and y-intercept we can form the equation:

[tex]y=\frac{1}{3}x-2[/tex]