How do you write the equation in slope intercept form given (2, 2), (-1, 4)?
The slope-intercept form of the equation is
Now use the point slope formula to solve for the equation of the line.
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If you have two points on a straight line, there is a lovely formula which allows you to get the equation immediately. It is based on the formula for the slope, so you kill two birds with one stone!
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First, find the slope using the formula: (m = \frac{{y_2 - y_1}}{{x_2 - x_1}})
Substitute the coordinates ((x_1, y_1) = (2, 2)) and ((x_2, y_2) = (-1, 4)) into the formula:
(m = \frac{{4 - 2}}{{-1 - 2}} = \frac{2}{-3})
Next, use one of the given points and the slope to find the equation in slope-intercept form (y = mx + b). Let's use ((2, 2)):
(2 = \frac{2}{-3}(2) + b)
Solve for (b):
(2 = \frac{4}{-3} + b)
(b = 2 + \frac{4}{3})
(b = \frac{6}{3} + \frac{4}{3})
(b = \frac{10}{3})
So, the equation in slope-intercept form is (y = -\frac{2}{3}x + \frac{10}{3}).
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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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