How do you find the equation of the line that goes through #(- 4,3)# and #( 5,- 2)#?
See a solution process below:
First, we need to determine the slope of the line. The formula for find the slope of a line is:
Substituting the values from the points in the problem gives:
Now, we can use the point-slope formula to write an equation for the line. The point-slope form of a linear equation is:
Substituting the slope we calculated above and the values from the first point in the problem gives:
We can also substitute the slope we calculated above and the values from the second point in the problem giving:
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To find the equation of the line passing through (-4,3) and (5,-2), first find the slope using the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Then, use the point-slope form of a line equation: ( y - y_1 = m(x - x_1) ). Substituting the slope and one of the given points, you can find the equation.
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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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