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Shkiper50 [21]
2 years ago
6

What is the equation in point slope form of the line that is parallel to the given line and passes through the point (4,1)?

Mathematics
1 answer:
vovikov84 [41]2 years ago
8 0

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y-1=\stackrel{\stackrel{m}{\downarrow }}{2}(x-4)\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line with a slope of 2 and that it passes through (4 , 1)

(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{4})

kinda twins.

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Hello,

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3 0
3 years ago
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Serga [27]

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(2x)(2y)(2z)

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So this is 8 times the original of xyz. Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER: 8*750=6000 toothpicks

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How can you tell if a set of bivariate data shows a linear relationship?
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5 0
3 years ago
2. Write the slope-intercept form of the equation of the line described.
yanalaym [24]

Answer:

y = -x + 1

Step-by-step explanation:

We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.

When two lines are parallel, they have the same slope, so the slope is going to be -1.

New equation: y = -x + b.

Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.

-3 = -4 + b

add 4 to both sides

1 = b

This means that the equation is y = -x + 1

8 0
2 years ago
Can someone plz help
xenn [34]

Answer:

I think there 1 and 1/2 quarts of lemonade left in the pitcher because in 1 quart there is 4 cups of something. In one gallon there are 4 quarts. So in one gallon there are 16 cups. How I got 16 cups it’s easy (4+4+4+4) . So they drank 5 glasses and each glass is 2 cups. So it will be 10 cups. (2+2+2+2+2). So in one gallon 16 cups they drank 10 cups. 6 cups left. 4 cups one quart and 2 cups is 1/2 of one quart. So the answer is 1 and 1/2 quarts of lemonade. Thank you

Step-by-step explanation:


6 0
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