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netineya [11]
3 years ago
5

write the equation in slope-intercept form of the line passing through the points (-3, -2) and (-5, 2) hint: y = mx + b, all wor

k must be shown
Mathematics
1 answer:
Mama L [17]3 years ago
4 0

Answer:

y(x) = -2x -8

Step-by-step explanation:

using the hint, insert the points (x,y) in the equation:

-2 = -3m + b       eq1

2 = -5m + b        eq2

eq2 - eq1 :  

4 = -2m  ==> m = -2

insert m in eq1:    

-2 = -3*(-2) +b   ==> b = -8

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the mass of liquid is 1,050 g

Step-by-step explanation:

subtract the total mass with the mass of the container

7 0
3 years ago
What is the slope of the line with equation 6x+3y=12?
max2010maxim [7]

Answer:

<h2>The slope m = -2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

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

<em />

We have the equation in the standard form:

6x+3y=12

Convert to the slope intercept form:

6x+3y=12              <em>subtract 6x from both sides</em>

3y=-6x+12           <em>divide both sides by 3</em>

y=-2x+4

slope: <em>m = -2</em>

y-intercept: <em>b = 4</em>

6 0
3 years ago
Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between h
Zarrin [17]

Answer:

Step-by-step explanation:

Cost of one ticket = $ 5

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3 0
3 years ago
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A polygon with 3 vertices is drawn on the coordinate plane. What can you tell about the polygon?
Rus_ich [418]

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Step-by-step explanation:

5 0
2 years ago
in the school cafeteria students chose their lunch from 3 sandwiches, 3 soups, 4 salads, and 2 drinks. how many different lunche
Vesna [10]

Answer:

Answer:

3

×

3

×

4

×

2

=

72

Explanation:

Let's look at the 3 sandwiches and 3 soups first and then expand the calculation. There are 9 ways I can have one of the sandwiches and 1 of the soups:

⎛

⎜

⎜

⎜

⎜

⎝

0

Soup 1

Soup 2

Soup 3

Sandwich 1

1

2

3

Sandwich 2

4

5

6

Sandwich 3

7

8

9

⎞

⎟

⎟

⎟

⎟

⎠

And so we can see that we multiply the number of sandwiches and the number of soups to get the total number of ways to get one of each.

The same works for more categories of choices, and so we multiply the 3 sandwiches, the 3 soups, 4 salads, and 2 drinks to get:

3

×

3

×

4

×

2

=

72


7 0
3 years ago
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