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Question -

Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3.



Answer -

Given:

The equation of line is x – 7y + 5 = 0

So, y = 1/7x + 5/7 [which is of the form y = mx + c, where mis the slope of the given line.]

Slope of the given line is 1/7

Slope of the line perpendicular to the line having slope mis -1/m

Slope of the line perpendicular to the line having a slopeof 1/7 is -1/(1/7) = -7

So, the equation of line with slope -7 and x intercept 3 isgiven by y = m(x – d)

y = -7 (x – 3)

y = -7x + 21

7x + y = 21

 The equation is 7x + y = 21

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