Maths, Find the equation, please help...

2008-01-31 8:32 pm
Find the equation of the line that goes through the point (2,-4) and is parallel to the line 4x-5y=7.

The answer is 4x-5y=28, but I have no idea how to get this answer. Can anyone show me how to do it, please?

回答 (2)

2008-01-31 8:44 pm
✔ 最佳答案
Find the equation of the line that goes through the point (2,-4) and is parallel to the line 4x-5y=7.
The slope of the required line
=4/5
Since the line line that goes through the point (2,-4) ,using point-slope form
y-(-4)=(4/5)(x-2)
5(y+4)=4(x-2)
4x-5y=28
2008-01-31 11:08 pm
The required line is parallel to the line 4x-5y=7.

Then the slope of the required line is same as the line 4x-5y=7.

The slope =4/5

And the required line goes through the point (2,-4) ,using point-slope form

y-(-4)=(4/5)(x-2)

5(y+4)=4(x-2)

4x-5y=28


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