How do you write an equation of a line passing through (3, 2), perpendicular to # y=5x + 2#?

Answer 1

Find the negative reciprocal of the slope and, using our point, write the equation in slope-intercept form.

The negative reciprocal of the slope of a line is the slope of the line perpendicular to it. If our original slope is #5#, then our new slope is #-1/5#.

Now, let's plug in our value and solve!

#2=-1/5(3)+b# #2=-3/5+b# #2+3/5=b# #13/5=b#
#y=-1/5x+13/5#
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Answer 2

I got: #y=-1/5x+13/5#

Given our line:

#y=5x+2#
the slope #m# will be numerical coefficient of #x# that is: #m=5# We know that the slope #m'# of the perpendiclar to our line must be:
#m'=-1/m=-1/5#
and the equation of the line with slope #m'# and passing through our point of coordinates (#x_0,y_0#) will be:
#y-y_0=m'(x-x_0)#

in our case:

#y-2=-1/5(x-3)#
#y=-1/5x+3/5+2#
#y=-1/5x+13/5#
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Answer 3

To write an equation of a line passing through the point (3, 2) and perpendicular to the line (y = 5x + 2), you need to find the negative reciprocal of the slope of the given line and then use the point-slope form of a linear equation.

The slope of the given line is 5, so the negative reciprocal of 5 is (-\frac{1}{5}).

Now, using the point-slope form with the given point (3, 2) and the slope (-\frac{1}{5}), the equation of the perpendicular line is:

[y - y_1 = m(x - x_1)] [y - 2 = -\frac{1}{5}(x - 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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