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ziro4ka [17]
3 years ago
6

Write the equation of a line that passes through (-1,3) (0,8)

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

You'll be using point slope form to solve this.

As the name suggests, you'll need the slope as well as a point. To find the slope use the slope formula: \frac{y_2-y_1}{x_2-x_1}

Plug in the points.

\frac{8-3}{0-(-1)} =\frac{5}{1} =5

The slope of this line is 5.

Point slope form is y-y1 = m(x-x1), so plug in the slope and a point into this equation. I'll use (0,8).

y-(8) = 5(x-(0))

1. Write this out without parentheses.

y-8 = 5(x)

2. Multiply 5 and x.

y-8 = 5x

3. Add 8 to both sides.

y = 5x+8

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answer is:

y = 5x+8

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A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles. HINT [See Example 7.
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Answer:

There are 12 sets of four marbles include all the red ones.    

Step-by-step explanation:

Given : A bag contains three red marbles, two green ones, one lavender one, four yellows, and five orange marbles.

To find : How many sets of four marbles include all the red ones?

Solution :

Number of red marbles = 3

Number of green marbles = 2

Number of lavender marbles = 1

Number of yellow marbles = 4

Number of orange marbles = 5

We have to form sets of four marbles include all the red ones,

For position of getting red ones we have three red marbles i.e. ^3C_3

For the fourth one we have 12 choices i.e. ^{12}C_1

Total sets of four marbles include all the red ones is

=^3C_3\times ^{12}C_1

=1\times 12

=12

Therefore, There are 12 sets of four marbles include all the red ones.

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3 years ago
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Which of the following phrases can be used to represent -11?
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Answer:

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opposite of -11 =11  so that doesn't work

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3 0
3 years ago
Read 2 more answers
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