How do you find the parallel and perpendicular slope of 3x-5y=-8?

Answer 1

Parallel slope = #3/5# and the perpendicular slope = #-5/3#

Change the equation of the line into standard form #y = mx +c#
#3x -5y = -8#
#3x +8 = 5y#
#y = 3/5x +8/5#
The slope of this line is #3/5#
Parallel lines have the same slope, so any line parallel to this one will have a a slope #m = 3/5#

The slopes of perpendicular lines are negative reciprocals of one another, as we can demonstrate:

#m_1 xx m_2 = -1#

Slop should be turned upside down and the sign changed to find the negative reciprocal.

So, for #m_1 = 3/5, " "m_2 = -5/3#
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Answer 2

To find the slope of a line in the form ( ax + by = c ), rewrite the equation in slope-intercept form ( y = mx + b ), where ( m ) is the slope.

For the given equation ( 3x - 5y = -8 ), rearrange it to solve for ( y ):

[ 3x - 5y = -8 ] [ -5y = -3x - 8 ] [ y = \frac{3}{5}x + \frac{8}{5} ]

The slope of the line is ( \frac{3}{5} ).

For parallel lines, the slopes are equal. Therefore, the parallel slope is also ( \frac{3}{5} ).

For perpendicular lines, the slopes are negative reciprocals of each other. The negative reciprocal of ( \frac{3}{5} ) is ( -\frac{5}{3} ). Therefore, the perpendicular slope is ( -\frac{5}{3} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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