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Yakvenalex [24]
3 years ago
12

Linear function for f(-11)=5, slope of f= -2/3

Mathematics
1 answer:
wolverine [178]3 years ago
7 0

Answer:

  f(x) = -2/3(x +11) +5

Step-by-step explanation:

The point-slope form of the equation of a line will give you the desired linear function:

  y = m(x -h) +k . . . . . for slope m through point (h, k)

You are give point (x, f(x)) = (-11, 5) = (h, k), and you are given slope m = -2/3. Putting these values into the function form gives ...

  f(x) = -2/3(x +11) +5

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Find slope of line A:
Move into slope-intercept form y = mx+b

<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8

The slope of line A is -5/8.

If </span><span>Line B is perpendicular to line A, then

slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5

So like B has the equation

y = (8/5)x + b

If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6

So line B has equation </span>
<span>y = (8/5)x - 6

m = 8/5 and b = -6

so

m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5

So m+b = -22/5 or -4.4 in decimal form
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6 0
3 years ago
What is the sum of a number n and 4 is no more than 13
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