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Afina-wow [57]
4 years ago
8

Can someone solve this

Mathematics
1 answer:
Sloan [31]4 years ago
4 0
The general equation of a line is y = mx+b. The line is horizontal and the slope (m) of a horizontal line is 0. So y = 0x + b = b. Since the y intercept (where it crosses the y axis) is -1 (or b = -1) then you have the equation y = -1.
Answer: y = -1.
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Then as <em>h</em> approaches 0 - bearing in mind that we're specifically considering <em>h</em> <em>near</em> 0, and not <em>h</em> = 0 - we can eliminate the factor of <em>h</em> in the numerator and denominator, so that

m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x

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Step-by-step explanation:

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