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fredd [130]
3 years ago
10

If a is (-8, 3) and c is (12, -4), find b if it is 2/5 the distance from a to c

Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

  (0, 1/5)

Step-by-step explanation:

Since b is 2/5 of the distance from a to c, it is ...

  b = a + 2/5(c -a) = 3/5a +2/5c

  b = (3a +2c)/5 = (3(-8, 3) +2(12, -4))/5 = (-24+24, 9-8)/5 = (0, 1/5)

Point b is (0, 1/5).

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Answer:

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Step-by-step explanation:

Y-intercept is when the x-value is 0.

So the y-intercept is (0, 2)

To find slope, find two random points:

(0, 2) , (2, 1)

Slope (m) =ΔY/ΔX  = -1/2 =  -0.5

Equation of the line:

y = -0.5x + 2

or

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The slope of the line below is -2. Use the coordinates of the labeled point to find the point-slope equation of the line. (4, -6
r-ruslan [8.4K]

<u>Answer:</u>

The point-slope equation of the line is y = -2x +2 or 2x+y = 2

<u>Solution: </u>

Let us assume that the slope is m and the y intercept of the line is b

Hence, y=m x+b--------- (i)

y intercept means we need to find the value of y when x is 0

Here the line passes through point (4,-6) and slope m = (-2)

Now putting the point (4,-6) in equation (i) we get,

\Rightarrow-6 = m\times4 +b

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\Rightarrow-6 = -8 +b

\Rightarrow-6+8 =b

\Rightarrow b = 2

So, the equation of the line will be will be y = -2x +2 or 2x+y = 2

6 0
2 years ago
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