Explain the relationship between tangent and the slope of a line

2 answers:

7 0

The secant line is a line that connects two points on the graph of a function. The tangent line is the line that is basically the slope of a function at a given point. (So secant line is the slope of a line through TWO points, tangent line is slope of a function at ONE point) The derivative finds the slop at any given point on a function. Basically the derivative is the tangent line at ANY point given for the function f(x).

pashok25 [27]3 years ago

6 0

The secant line is a line that connects two points on the graph of a function. The tangent line is the line that is basically the slope of a function at a given point

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likoan [24]

Since the slope of a line is $\frac{y_{2}-y_{1} }{ x_{2}-x_{1} }$
And 2 points of the line are given, (4,5) and (8,y) we can substitute those values into our equation.

$\frac{y-5}{8-4} = \frac{y-5}{4}$

Since the slope of the line is 3,
$\frac{y-5}{4} = 3$
Multiplying both sides by 4 would give us:

y-5=12
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Therefore the missing y value equals 17.

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nikdorinn [45]

Answer:

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Step-by-step explanation:

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Hope this helps!

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