What is the slope of a line perpendicular to this line? Y=3/4x

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What is the slope of a line perpendicular to this line? Y=3/4x

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Answer 1 · 2018-05-04T05:33:53

$- \frac{4}{3}$ $-4/3$

Explanation:

Here

$y = m x$ $y=mx$

is the given eq, with $m$ $m$ being the slope of the given line. Therefore, the slope of this line is $\frac{3}{4}$ $3/4$ $(m)$ $(m)$ .

But the slope of the line perpendicular to the given line is $= - \frac{1}{m}$ $=-1/m$ , so the answer is $= - \frac{1}{\frac{3}{4}}$ $=-1/(3/4)$

which is $= - \frac{4}{3}$ $=-4/3$ .

Answer 2 · 2018-05-04T06:00:09

The perpendicular slope is $- \frac{4}{3}$ $-4/3$ .

Explanation:

Given:

$y = \frac{3}{4} x$ $y=3/4x$

The slope that is perpendicular to $\frac{3}{4}$ $3/4$ is its negative reciprocal, which is $- \frac{4}{3}$ $-4/3$ .

Mathematically

$m_{1} m_{2} = - 1$ $m_1m_2=-1$ ,

where $m_{1}$ $m_1$ is the given slope and $m_{2}$ $m_2$ is the perpendicular slope.

$\frac{3}{4} m_{2} = - 1$ $3/4m_2=-1$

Multiply both sides by $\frac{4}{3}$ $4/3$ .

$color(red)cancel(color(black)(4))^1/color(red)cancel(color(black)(3))^1xxcolor(red)cancel(color(black)(3))^1/color(red)cancel(color(black)(4))^1m_2=-1xx4/3$

Simplify.

$m_2=-4/3$

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What is the slope of a line perpendicular to this line? Y=3/4x

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