What is the equation of the line perpendicular to #y=-2/21x # that passes through # (-1,6) #?
The slope of a perpendicular line is the negative reciprocal of the original line.
Now that we have the point, the slope abs can be used to find the slope intercept form equation using point slope form.
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Given:
Compare to the standard form of Where In your equation If '~~~~~~~~~~~~~~~~~~~~~~~~~~~ We know that this new line passes through So substitute into equation (2) the values '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The line perpendicular to that given is:
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To find the equation of the line perpendicular to ( y = -\frac{2}{21}x ), first, determine the slope of the given line. Then, find the negative reciprocal of that slope to obtain the slope of the perpendicular line. Next, use the point-slope form of the equation of a line, substituting the slope and the given point ((-1, 6)) into the equation. Finally, simplify the equation to put it in slope-intercept form, if necessary.
- Slope of the given line: ( m = -\frac{2}{21} )
- Slope of the perpendicular line: ( m_{\text{perpendicular}} = -\frac{1}{m} = -\frac{1}{-\frac{2}{21}} = \frac{21}{2} )
- Using the point-slope form with the given point ((-1, 6)): [ y - y_1 = m(x - x_1) ] [ y - 6 = \frac{21}{2}(x + 1) ]
- Simplify the equation: [ y - 6 = \frac{21}{2}x + \frac{21}{2} ] [ y = \frac{21}{2}x + \frac{21}{2} + 6 ] [ y = \frac{21}{2}x + \frac{33}{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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- How do you write the equation in slope intercept form given (-3,13) and (-1,-1)?
- How do you write the equation #y-1=5/6(x-4)# in standard form?

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