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MA_775_DIABLO [31]
3 years ago
10

Use the given information to write the equation of the line in slope-intercept form: y = mx + b

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

y  =2x + 3

Step-by-step explanation:

Given

(-2,-1) and (3,9).

Required

Determine the line equation

First, we calculate slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (-2,-1)

(x_2,y_2) = (3,9)

So, we have:

m = \frac{9 - (-1)}{3- (-2)}

m = \frac{9+1}{3+2}

m = \frac{10}{5}

m = 2

The equation is then calculated using:

y - y_1 = m(x - x_1)

y - (-1) =2(x - (-2))

y - (-1) =2(x +2)

y +1 =2(x +2)

Open bracket

y +1 =2x + 4

Subtract 1 from both sides

y +1-1 =2x + 4-1

y  =2x + 3

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Answer:

1/16

Step-by-step explanation:

2^-4

We know that a^ -b = 1/ a^b

2^-4 = 1/2^4

2^4 =16

so 1/2^4 = 1/16

5 0
3 years ago
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What is the percent change from 1800 to 1926
Crank
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4 0
3 years ago
1. Find the ratio of of 25cm and 1m .<br> 2. Find the product of (a + 4)(a − 4).
mr Goodwill [35]

Answer:

1..

solution....

here given

25cm

1m=100cm

now,

25/100=1/4

1:4

2....

(a+4)(a-4)

a^2-4^2

a^2-16

Step-by-step explanation:

hope it will help you

7 0
3 years ago
Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)
Tcecarenko [31]

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

-1 = -6 + b

5 = b

Your new equation is...

y = -2x + 5

6 0
2 years ago
On the scale drawing of Cold Lake Camp, the mess hall is 5 cm from the lodge. The scale for the map is 2 cm = 100 m.
romanna [79]

Answer:

The answer is 250 meters from the lodge

6 0
3 years ago
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