How do you write an equation of a line going through (-1,2), (3,-4)?
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To find a linear equation for the line going through these two points we can use the point-slope formula.
However, first we need to determine the slope of the line.
Now that we have the slope we can use the slope-point formula to write the equation for the line.
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To write the equation of a line going through the points (-1,2) and (3,-4), first find the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}). Substituting the given points, (m = \frac{-4 - 2}{3 - (-1)} = \frac{-6}{4} = -\frac{3}{2}).
With the slope and one of the points, use the point-slope form of the line equation, (y - y_1 = m(x - x_1)), substituting the slope and either point. Using (-1,2), the equation is (y - 2 = -\frac{3}{2}(x + 1)).
Expanding and simplifying gives (y - 2 = -\frac{3}{2}x - \frac{3}{2}), and then adding 2 to both sides results in (y = -\frac{3}{2}x + \frac{1}{2}). So, the equation of the line is (y = -\frac{3}{2}x + \frac{1}{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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- What is the slope of any line perpendicular to the line passing through #(-2,8)# and #(0,4)#?
- Why don't vertical lines other than #y=0# have y-intercepts?
- How do you find the slope of a line perpendicular to #5x-2y=-1#?
- What is the equation of the line with slope # m= 5/17 # that passes through # (39,23) #?

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