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kondor19780726 [428]
3 years ago
6

What’s the slope of -2,-3 and -4,-9

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

m = 3

Step-by-step explanation:

Find the slope of the line connecting (-2,-3) and (-4,-9).  (Note:  you must use those parentheses.)

As we go from x= -4 to x = -2, an increase of 2, y increases by 6 from -9 to -3.  The slope of this line is m = rise / run = 6/2 = 3.

nevsk [136]3 years ago
3 0

Answer:

the slope is 3

m =  

y2 - y1 /x2 - x1


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Using derivatives, it is found that regarding the tangent line to the function, we have that:

  • The slope is of 962.
  • The equation of the line is y = 962x - 5119.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

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