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Lunna [17]
3 years ago
5

Write an equation in point-slope form of the line through these given points.I need separate answers for each problem, thx

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

I like point point form because it doesn't fail in the no slope case.  The line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

Point slope form is almost the same,

y - b = \dfrac{d-b}{c-a} (x-a)

1. (a,b)=(4,0),(c,d)=(-2,1)

y - 0 = (1 - 0)/(-2 - 4) (x - 4)

Answer: y = (-1/6)(x-4)

2.

y - -2 = (3 - -2)/(5 - -3) (x - -3)

Answer: y + 2 = (5/8) (x+3)

3.

y - 1 = (4 - 1)/(3 - -5) (x - -5)

Answer: y - 1 = (3/8) (x+5)

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6 0
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Talia used 1/3 of a piece of wood for the base of her project 1/4 of the piece of wood for the vertical support and the rest for
Veseljchak [2.6K]

Answer:

The fraction of wood used for horizontal support is \frac{5}{12}.

Step-by-step explanation:

Assume that the total piece of wood is of length 1.

It is provided that Talia used \frac{1}{3} of the piece of wood for the base of he project.

She use \frac{1}{4} of the piece of wood for the for the vertical support.

The remaining wood she used for horizontal support.

The amount of wood used for horizontal support can be computed by the subtracting the amount of wood used for base of the project and vertical support form 1.

Compute the amount of wood used for horizontal support as follows:

Horizontal\ support=1-Base\ of\ project-Vertical\ support\\= 1 - \frac{1}{3}-\frac{1}{4}\\  =\frac{12-4-3}{12} \\=\frac{5}{12}

Thus, the fraction of wood used for horizontal support is \frac{5}{12}.

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3 years ago
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Find the approximate area of a triangle that has vertices at A(-4,2),B(6,4)C(3,-1)
MrMuchimi

area \: of \: triangle \:  =  \frac{1}{2}  |( - 16) - (22)|
=  \frac{1}{2}  | - 44|
= | - 22|
area \: of \: triangle \:  = 22
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