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