Question

What is the slope of a line that is perpendicular to the line 3y - 4x = -8?

Answer 1

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`3y - 4x = - 8`

Add sides 4x

`3y - 4x + 4x = 4x - 8`

`3y = 4x - 8`

Divide sides by 3

`(3)/(3) y = (4)/(3) x - (8)/(3) \\`

`y = (4)/(3) x - 8 \\`

This is the slope-intercept form of the line.

We that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus ;

`slope = (4)/(3) \\`

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Remember from now on ;

Multiply of the slopes of the lines which are perpendicular to each other equal -1 .

Suppose the slope of the line which question asked is m.

So :

`(3)/(4) * m = - 1 \\`

Multiply sides by 4

`4 * (3)/(4) * m = 4 * ( - 1) \\`

`3m = - 4`

Divide sides by 3

`(3)/(3) m = ( - 4)/(3) \\`

`m = - (4)/(3) \\`

Done...

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