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Contact [7]
3 years ago
5

Find the equation of the line in slope intercept form that passes through (0,4) and is parallel to the line 4x-3y=12?

Mathematics
2 answers:
Lynna [10]3 years ago
6 0

Answer:

y=−4/3x+8

Step-by-step explanation:

y=mx+b

4x+3y=12→y=−4/3x+4

y=−4/3x+b

4)=−4/3(3)+b→b=8

y=−4/3x+8


Drupady [299]3 years ago
5 0

Answer:

y=−4/3x+8

Step-by-step explanation:

Let’s say that the parallel line takes on this form.

y=mx+b  

If the line is parallel, that means that the m of the two lines are equal.

If we solve the line we were given for y, we find…

4x+3y=12→y=−4/3x+4

so, we know that our line that we’re trying to find must be of the form  

y=−4/3x+b

Now we can plug in a point to fix that b part.  

(4)=−43(3)+b→b=8

So, that means…

y=−4/3x+8

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