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Anastasy [175]
3 years ago
6

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = neg

ative one-foA line passes through the points (1, 4) and (3, –4). Which is the equation of the line? y = negative 4 x + 8 y = –2x + 6 y = negative one-fourth x + 2 y = 2x + 2urth x + 2 y = 2x + 2
Mathematics
2 answers:
Kruka [31]3 years ago
8 0

Answer:

y = -4x + 8

Step-by-step explanation:

The equation of a line is written in slope-intercept form : y = mx+b

m is the slope

We are given two points, so let's find the slope of the line first:

Slope = ΔY/ΔX = 4 - (-4) / 1 - 3 = 8 / -2 = -4

The slope is -4

So far, our equation is y = -4x + b

We can input a point's x and y value to find b, the y-intercept

Let's use point (1, 4)

4 = -4(1) + b

4 = -4 + b

b = 4 + 4

b = 8

The equation is y = -4x + 8

-Chetan K

kotykmax [81]3 years ago
4 0

Answer:

the answer is A

Step-by-step explanation:

y=-4x+8

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Answer:

OB

Step-by-step explanation:

The slopes are not changed.

See the picture of the 2 graphs.  The slopes are the same,, but the y intercepts are different, so the lines are parallel.

5 0
1 year ago
A packing box has the dimensions 3 by 2 by 5 1/2 feet. What is the volume of the box?
dem82 [27]
As already mentioned, the volume for a rectangular prism, namely a box in this case, is just the product of its dimensions, length * width * height.

\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=3\\
W=2\\
H=5\frac{1}{2}
\end{cases}\implies V=3\cdot 2\cdot 5\frac{1}{2}
\\\\\\
V=3\cdot 2\cdot \cfrac{5\cdot 2+1}{2}\implies V=6\cdot\cfrac{11}{2}\implies V=3\cdot \cfrac{11}{1}
\\\\\\
V=33

now, as far as another one... hmm is easier if you post in the channel, that way I can include any graphs if needed or tables and such.

so, what happens if you double up the dimensions?

\bf \textit{volume of a rectangular prism}\\\\
V=LWH\quad 
\begin{cases}
L=length\\
W=width\\
H=height\\
------\\
L=6\\
W=4\\
H=10
\end{cases}\implies V=6\cdot 4\cdot 10\implies V=240\\\\
-------------------------------\\\\
\begin{cases}
L=6(2)\\
W=4(2)\\
H=10(2)
\end{cases}\implies V=6(2)8(2)10(2)\implies V=(2)(2)(2)6\cdot 8\cdot 10
\\\\\\
V=(8)6\cdot 8\cdot 10\implies V=(8)\stackrel{original~volume}{240}

notice, how many times the new size is, is 8 times the original.
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