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ICE Princess25 [194]
3 years ago
14

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

y=\frac{-1}{3}x-4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> - slope

<em>b </em>- y-intercept

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope <em>m</em>

<em />m=\frac{-2-(-7)}{-6-9}<em />

<em />m=\frac{-2+7}{-15}<em />

<em />m=\frac{5}{-15}<em />

<em />m=\frac{-1}{3}<em />

y=\frac{-1}{3}x+b

Step 3: Find y-intercept <em>b</em>

<em />-7=\frac{-1}{3}(9)+b<em />

<em />-7=-3+b<em />

<em />-4=b<em />

<em />

Step 4: Write linear equation in slope-intercept form

y=\frac{-1}{3}x-4

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Answer:

The correct options are;

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Step-by-step explanation:

The given information are;

The items Will buys every weekday after tennis practice = A carton of milk or a bottle of powder drink

The number of milk purchased during the month = m

Will's total cost for beverages in dollars last month = 2·m + 3·(20 - m)

1) Therefore, given that the total amount is factored in dollars, we have;

2·m and 3·(20 - m) are dollar amounts, while, m is a quantity;

Therefore;

Where;

2·m = The total cost of the cartons of milk, then the factor 2 represents $2.00 which is the cost per carton of milk

Similarly, 3·(20 - m) can be said to represent the total cost of the powder drink then the factor 3 represents $3.00 which is the cost per powder drink and the factor (20 - m), represents the number of powder drink Will buys for the month

From which we found the cost of milk powder = $3.00 per bottle

2) The expression, 2·m + 3·(20 - m) simplifies to 2·m + 60 - 3·m, which gives;

2·m + 60 - 3·m = 60 - m which is an equivalent expression for the total cost of Will's beverages for the month.

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3 years ago
An aircraft travels for 30 minutes at an average speed of 37 mph. how far did the airplane travel?
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2 years ago
If the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
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14 bugs are crawling on the steps. Some of the bugs are black, and 4 are
docker41 [41]

Answer:

b  = 14-4

Step-by-step explanation:

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