What is the equation of the line between #(10,3)# and #(-4,12)#?
Working on the assumption that you are talking about a straight line graph
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The equation of the line passing through the points (10, 3) and (-4, 12) can be found using the point-slope form of a linear equation. The formula is ( y - y_1 = m(x - x_1) ), where ( (x_1, y_1) ) is a point on the line and ( m ) is the slope of the line.
First, find the slope ( m ) using the formula ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ), where ( (x_1, y_1) = (10, 3) ) and ( (x_2, y_2) = (-4, 12) ).
( m = \frac{{12 - 3}}{{-4 - 10}} = \frac{{9}}{{-14}} )
Now that we have the slope, we can use one of the given points and the slope in the point-slope form to find the equation of the line. Let's use the point ( (10, 3) ).
( y - 3 = \frac{{9}}{{-14}}(x - 10) )
Simplify:
( y - 3 = -\frac{{9}}{{14}}x + \frac{{90}}{{14}} )
( y = -\frac{{9}}{{14}}x + \frac{{90}}{{14}} + 3 )
( y = -\frac{{9}}{{14}}x + \frac{{90 + 42}}{{14}} )
( y = -\frac{{9}}{{14}}x + \frac{{132}}{{14}} )
( y = -\frac{{9}}{{14}}x + 9 )
So, the equation of the line passing through the points (10, 3) and (-4, 12) is ( y = -\frac{{9}}{{14}}x + 9 ).
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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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