The given line are parallel to each other
We have given equation of line
3x+4y+5=0 .....(1)
6x+8y+7=0......(2)
We have to find the slope of both line
suppose the slope of the first line is m1 we have to find the value of m1
What is the slope intercept form of the line?
The slope intercept form of the line is y=mx+c
we have given equation 3x+4y+5=0
write given equation it into slope intercept form
[tex]4y=-3x-5[/tex]
divide both side by 4
[tex]y=\frac{-3}{4} x-\frac{5}{4}[/tex]
[tex]m_{1}=-\frac{3}{4}[/tex]
similarly slope of second line is
[tex]m_{2} =-\frac{6}{8} =-\frac{3}{4}[/tex]
we get the slope of two line is equal
[tex]m_{1} =m_{2} =-\frac{3}{4}[/tex]
Therefore the given line are parallel to each other.
To learn more about the slope of line visit:
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