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3 years ago

A line goes through the points (8,9) and (-2,4).

Mathematics

1 answer:

vazorg [7]3 years ago

8 0

<h3>Answer:</h3>

slope = 1/2
equation: y = 1/2x +5

<h3>Step-by-step explanation:</h3>

Slope

The slope of the line between two points (x1, y1) and (x2, y2) is ...

... m = (y2 -y1)/(x2 -x1)

For your given points, the slope is

... m = (4 -9)/(-2 -8) = -5/-10

... m = 1/2

Equation

The point-slope form of the equation for a line can be written ...

... y = m(x -h) +k . . . . for a line of slope m through point (h, k)

Using the first point given and the slope just calculated, the equation for the line can be written ...

... y = (1/2)(x -8) +9

... y = (1/2)x -4 +9 . . . . eliminate parentheses; next, collect terms

... y = 1/2x +5

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13 14<br> x<br> 7 11<br> What is 13/7 times 14/11 equal

Ostrovityanka [42]

Answer:

(2 × 7 × 13) / (7 × 11) =

((2 × 7 × 13) ÷ 7) / ((7 × 11) ÷ 7) =

(2 × 7 ÷ 7 × 13)/(7 ÷ 7 × 11) =

(2 × 1 × 13)/(1 × 11) =

(2 × 13)/11 =

26/11;

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.

marta [7]

Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
      = 1 * 4 dollars
      = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

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2 years ago

The principal of a large high school wants to learn about student opinion regarding remote learning versus in person learning. E

jasenka [17]

Answer:

Step-by-step explanation:

the students that are in the survey are in it because they like the subject, rather than picking students from both types of groups, the ones that aren't doing remote learning and the ones that are doing remote learning.

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2 years ago

Write the equation of the line that passes through the points (-9, -8) and (–6,6).

sveta [45]

Answer:

Slope - intercept form $y = \frac{14}{3} x + 34$

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are ( -9 ,-8 ) and (-6,6)

slope of given two points

$m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}$

The equation of the straight line passing through the points and having slope

$y - y_{1} = m ( x - x_{1} )$

$y - (-8) = \frac{14}{3} ( x - (-9) )$

3 y + 2 4 = 14 x + 126

3 y = 14 x + 126 - 24

3 y = 14 x + 102

$y = \frac{14}{3} + \frac{102}{3}$

$y = \frac{14}{3} x + 34$

Slope - intercept form y= mx +C

Slope - intercept form $y = \frac{14}{3} x + 34$

6 0

2 years ago

In a sale, normal prices are reduced by 20%. Andrew bought a saddle for his horse in the sale. The sale price of the saddle was

pshichka [43]

The formula for this is: (sale price) / (1 - percentage)
Percentage have to be in decimal form, so divide percentage by 100 to get the decimal form.

220/(1-.20) = $275

The original price was $275.

8 0

3 years ago