Question

find the slope of the line which is perpendicular to the line y=5x+3

Answer 1

solution :

We know that ,

Equation of a line whose slope = m,

y - intercept = c ,is y = mx + c

Here ,

Compare y = 5x + 3 with y = mx + c

m = 5

slope of a line perpendicular to

given line is ( m1 ) = - 1/m

m1 = - 1/5

•••••

Answer 2

$\huge{\fbox{ \mathtt{SOLUTION :}}}$

Given ,

The line of equation is y = 5x + 3 --- (i)

Comparing (i) with y = mx + c (slope intercept form) , we have slope as m = 5 and y intercept as c = 3

it is known that , if the two lines are perpendicular to each other than ,

Their product of slope is - 1 i.e

$\mathsf{\fbox{m_{1} \times m_ { 2} = - 1}}$

Thus , The slope of the line which is perpendicular to the line y = 5x + 3 is

$\sf \hookrightarrow m_{2} = - \frac{ 1 }{5}$

Hence , the required slope is -1/5 which is perpendicular to the line y = 5x + 3