What is the equation of the line with slope # m= 7/25 # that passes through # (47/5 32/10) #?

Answer 1

#y=7/25x+71/125#

As stated:

#P_1(x_1;y_1)#

A line through a point has the following equation:

#y-y_1=m(x-x_1)#

(x-47/5)(y-32/10)#

#y=7/25x-329/125+color(green)cancel(32)^color(green)16/color(green)cancel(10)^color(green)5#
#y = 7/25x + (329 + 400) / 125#
#y=7/25x+71/125#
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Answer 2

The equation in slope-intercept form is #y=7/25x+71/125#.

The straight line #y=mx+b#, whose slope, #m#, is #7/25#, #x=47/5#, and #y=32/10#, can be represented using the slope-intercept form.
Observe that the y-intercept, #b#, is unknown. Rearrange the equation to isolate #b#, then solve using the supplied values.
#y=mx + b#
#b=y-mx#
32/10-(7/25)(47/5)# is #b.

Make it simple.

32/10-(329)/(125)# is #b.
Transform #32/10# into #16/5#.
#b=16/5-329/125#
#125# is the LCD number. Multiply #16/5# by #25/25#.
#b=329/125#, 25/25) = 16/5

Make it simple.

#b=329/125-326/125#

Make it simple.

#b=71/125#
#y=7/25x+71/125# is the equation expressed in slope-intercept form.
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Answer 3

The equation of the line with slope ( m = \frac{7}{25} ) that passes through the point ( \left(\frac{47}{5}, \frac{32}{10}\right) ) is ( y = \frac{7}{25}x + \frac{8}{5} ).

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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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