Question

What is the slope of the line perpendicular to `y=7/4x -3`?

Answer 1

`slope = - 4/7`

Explanation:

One form of the equation of a straight line is y = mx + c
where m is the slope and c the y-intercept.

the equation here fits this form and by comparison `m =7/4`

Consider 2 lines with slopes `m_1 and m_2`

when they are perpendicular to each other then `m_1 xx m_2 = - 1`

`rArr 7/4 xx m_2 = -1`

`rArr m_2 = -1/(7/4) = - 4/7`