What is the equation of the line passing through #(11,17)# and #(23,11)#?

Answer 1

#x+2y=45#

1st point#=(x_1, y_1)=(11, 17)# 2nd point#=(x_2, y_2)=(23, 11)#
First, we will have to find the slope #m# of this line:
#m=(y_2-y_1)/(x_2-x_1)=(11-17)/(23-11)=-6/12=-1/2#
Now, use point-slope formula with one of the given points: #y-y_1=m(x-x_1)# #y-17=-1/2(x-11)# #y-17=-1/2x+11/2# #y=-1/2x+11/2+17# #y=(-x+11+34)/2# #2y=-x+45# #x+2y=45#
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Answer 2

#y = -x/2 + 45/2#

Usung the formula #y-y_1 = m(x-x_1)# Considering #(11, 17) and (23, 11)# #(x_1, y_1) and (x_2, y_2)#
m (gradient) = #(y_2-y_1)/(x_2-x_1)#
m = #(11-17)/(23-11)#
m = #-6/12#
m = #-1/2#
#y-17 = -1/2(x-11)# #y-17 = -x/2+11/2# #y = -x/2+11/2+17# #y = -x/2 + 45/2#

This is the equation of the line

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Answer 3

To find the equation of the line passing through the points (11, 17) and (23, 11), you can use the point-slope form of the equation of a line:

y - y₁ = m(x - x₁),

where (x₁, y₁) is one point on the line, and m is the slope of the line. First, calculate the slope using the given points:

m = (y₂ - y₁) / (x₂ - x₁) m = (11 - 17) / (23 - 11) m = -6 / 12 m = -1/2.

Choose one of the given points to substitute into the point-slope form. Let's use (11, 17):

y - 17 = -1/2(x - 11).

Now, simplify and rewrite the equation in slope-intercept form (y = mx + b):

y - 17 = -1/2x + 11/2 y = -1/2x + 11/2 + 17 y = -1/2x + 11/2 + 34/2 y = -1/2x + 45/2.

So, the equation of the line passing through the points (11, 17) and (23, 11) is y = -1/2x + 45/2.

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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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