Respuesta :
Following are the calculation of slope that is parallel to the line:
Given:
[tex]\bold{3x-5y=10}[/tex]
To find:
Find the Slope of a Parallel Line=?
Solution:
Line equation= [tex]\bold{y=mx+c}[/tex]
[tex]\to \bold{3x-5y=10}\\\\\to \bold{5y= 3x-10}\\\\\to \bold{y= \frac{3}{5}x- \frac{10}{5}}\\\\\to \bold{y= \frac{3}{5}x- 2}\\\\[/tex]
[tex]\bold{m=\frac{3}{5}}[/tex]
Let
[tex]\bold{m_1=\frac{3}{5}}[/tex]
Therefore,
[tex]\bold{m_1 \times m_2=-1}[/tex]
[tex]\bold{\frac{3}{5}\times m_2=-1}\\\\\bold{ m_2=- \frac{5}{3}}[/tex]
Putting the value into the given formula:
[tex]\to \bold{m_1 \times m_2=-1}[/tex]
Solve L.H.S part:
[tex]\to \bold{\frac{3}{5} \times -\frac{5}{3}}\\\\ \to\bold{-1}[/tex]
Therefore, the line is parallel.
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