Question

The graph of mx + 5y - 11 = 0 and 14x + 10y - 22 = 0 are

paralled to each other then find the value of m.​

Answer 1

Answer:

Mark as branlist first please

Answer 2

SOLUTION

GIVEN

The graph of The graph of mx + 5y - 11 = 0 and 14x + 10y - 22 = 0 are

paralled to each other then find the value of m. are parallel to each other

TO DETERMINE

The value of m

CONCEPT TO BE IMPLEMENTED

If the equation of the line is ax + by + c = 0

Then slope of the line is

$\displaystyle \sf{ = - \frac{a}{b} }$

EVALUATION

Here the given equation of the lines are

mx + 5y - 11 = 0 - - - - - - (1)

14x + 10y - 22 = 0 - - - - - (2)

Slope of the first line

$\displaystyle \sf{ = - \frac{m}{5} }$

Slope of the second line

$\displaystyle \sf{ = - \frac{14}{10} }$

$\displaystyle \sf{ = - \frac{7}{5} }$

Since the two lines are parallel

So they must have the same slope

$\displaystyle \sf{ - \frac{m}{5} = - \frac{7}{5} }$

$\displaystyle \sf{ \implies \: m = 7}$

FINAL ANSWER

Hence the required value of m = 7

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