Find the slope perpendicular to $y=\frac{1}{2}x-7$

Genesis Gibbs
2022-09-28
Answered

Find the slope perpendicular to $y=\frac{1}{2}x-7$

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Reagan Tanner

Answered 2022-09-29
Author has **8** answers

$y=\frac{1}{2}x-7$

okay this equation is already in slope intercept form:

y=mx+b where m = slope and b = y-intercept

The formula for a perpendicular slope is $-\frac{1}{m}$

so your slope is $\frac{1}{2}$ applying the formula:

$-\frac{1}{\frac{1}{2}}=-2$

okay this equation is already in slope intercept form:

y=mx+b where m = slope and b = y-intercept

The formula for a perpendicular slope is $-\frac{1}{m}$

so your slope is $\frac{1}{2}$ applying the formula:

$-\frac{1}{\frac{1}{2}}=-2$

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where A and B cannot both be 0.

So does it means like

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Are the above equation a Linear equation of 2 variables?

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I tried to solve it in the Diophantine equation form $97x+61y=1$ by using Euclidean algorithm and got the sample result of $x=22$ and $y=35$.

However, the calculation took me quite long to do it, even if I was highly concentrated it would still take me 5−7 min to solve.

I want to ask whether we had any other way to quickly solve these kind of linear congruence equations?

I tried to solve it in the Diophantine equation form $97x+61y=1$ by using Euclidean algorithm and got the sample result of $x=22$ and $y=35$.

However, the calculation took me quite long to do it, even if I was highly concentrated it would still take me 5−7 min to solve.

I want to ask whether we had any other way to quickly solve these kind of linear congruence equations?