How do you find a equation of the line containing the given pair of points (-5,0) and (0,9)?
I found:
I would try using the following relationship:
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Therefore, we have the equation line !
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To find the equation of the line containing the given pair of points (-5,0) and (0,9), you can use the point-slope form of a linear equation.
- Calculate the slope using the formula: ( m = \frac{y_2 - y_1}{x_2 - x_1} ).
- Choose one of the points and plug the slope into the point-slope form equation: ( y - y_1 = m(x - x_1) ).
Let's calculate the slope:
( m = \frac{9 - 0}{0 - (-5)} = \frac{9}{5} ).
Now, we'll choose one of the points, let's say (-5,0), and plug the values into the point-slope form equation:
( y - 0 = \frac{9}{5}(x - (-5)) ).
Simplify:
( y = \frac{9}{5}(x + 5) ).
This is the equation of the line in slope-intercept form. We can distribute to put it in standard form if needed.
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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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