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Answer :

We will find that line as follows:

*First, we replace the values in the following expression:

[tex]y-y_1=m(x-x_1)[/tex]

We are given a point with x & y components and a line that has a slope of -4/3, now we replace:

[tex]y-14=-\frac{4}{3}(x-6)[/tex]

Now, we solve for y:

[tex]\Rightarrow y-14=-\frac{4}{3}x+8\Rightarrow y=-\frac{4}{3}x+22[/tex]

So, the equation of a line that is parallel to y = -4/3x - 1 that passes through the point (6,