What is the equation of the line passing through #(8,2), (5,8)#?

Answer 1

In general form:

#2x+y-18 = 0#

The slope #m# of a line passing through two points #(x_1, y_1)# and #(x_2, y_2)# is given by the equation:
#m = (Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)#
Let #(x_1, y_1) = (8, 2)# and #(x_2, y_2) = (5, 8)#

Then:

#m = (8-2)/(5-8) = 6/(-3) = -2#
The equation of the line passing through #(8, 2)# and #(5, 8)# can be written in point slope form as:
#y - y_1 = m(x-x_1)#

That is:

#y - 2 = -2(x - 8)#
Add #2# to both sides to find:
#y = -2x+18#

which is the slope intercept form of the equation of the line.

Then putting all terms on one side by adding #2x-18# to both sides we find:
#2x+y-18 = 0#

which is the general form of the equation of a line.

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Answer 2

To find the equation of the line passing through the points (8,2) and (5,8), you can use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, and m is the slope of the line. Calculate the slope using the formula: m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the given points. Then, substitute one of the points and the slope into the point-slope form to find the equation.

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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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