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Karo-lina-s [1.5K]
3 years ago
5

The coordinates of the points A and B are (0,-2) and (3,0), what is the y intercept of the line AB

Mathematics
2 answers:
matrenka [14]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis). To solve this question, first, find the slope, then, plug one of the given points into the equation to isolate b.

<u>1) Find the slope (m)</u>

m=\frac{y_2-y_1}{x_2-x_1} where the given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (0,-2) and (3,0)

m=\frac{0-(-2)}{3-0}\\m=\frac{0+2}{3}\\m=\frac{2}{3}

Therefore, the slope of of the line is \frac{2}{3}. Plug this into  y=mx+b as m:

y=\frac{2}{3} x+b

<u>2) Find the y-intercept (b)</u>

y=\frac{2}{3} x+b

Plug in one of the given points: (0,-2) or (3,0)

0=\frac{2}{3} (3)+b\\0=2+b\\b=-2

Therefore, the y-intercept of the line AB is -2.

I hope this helps!

lilavasa [31]3 years ago
3 0

Answer:

The y-intercept of points A and B is -2.

Step-by-step explanation:

Point A is the y-intercept. You can tell by looking at the x and seeing that it is 0. This means the point is the y-intercept.

Hope this helps!

-Luna

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Answer:

61,01%

Step-by-step explanation:

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That is: 243 g of carbohidrates is equal to 972 kcal; 41g of fat is equal to 369 kcal and 63 g of proteins is equal to 252 kcal.

If we sum up all the calories she intakes in one day, the result is= 972kcal+369kcal+252kcal=1593kcal.

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5 0
3 years ago
Graph y=-6(3)^x<br><br> please do the table and the graph <br><br> 20 POINTS!
Margarita [4]

Answer:

<em>Explanation to the answer below... (Answers in the Explanation</em><em>)</em>

Step-by-step explanation:

We Know that our rule is y = y = -6(3)^{x} , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.

1st Point,

y = -6(3)^{x}\\y =  -6(3)^{1}\\y = -6(3)\\y = -18\\x = 1, y = -18

2nd, point

y = -6(3)^x\\ y = -6(3)^2\\y = -6(9)\\y = -54\\x = 2, y = -54

3rd Point

y = -6(3)^x\\y = -6(3)^3\\y = -6(27)\\y = -162\\x = 3, y = -162

4th Point

y = -6(3)^4\\y = -6(81)\\y = -486\\x = 4, y = -486\\

5th Point

y = -6(3)^5\\y = -6(243)\\y = -1458\\\x = 5, y = -1458

6th Point

y = -6(3)^x\\y = -6(3)^6\\y = -6(729)\\y = -4,374\\x = 6, y = -4,374\\

7th Point (Last Point)

y = -6(3)^x\\y = -6(3)^7\\y = -6(2,187)\\y. = -13,122\\x = 7, y = -13,122

Let's now plot them on the Graph, the values are so big, the graph might look a little odd.

Always remember that we can continue the points infinitely, and there is no stop, The Graph is attached below...

4 0
2 years ago
I will give brainiest to whoever answers correctly !!
IgorC [24]

Answer:

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Step-by-step explanation:

Given the following data;

Principal = $270

Simple interest = future amount - principal = 309.60 - 270 = $39.60

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To find the interest rate?

Mathematically, simple interest is calculated using this formula;

S.I = \frac {PRT}{100}

Where;

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Substituting into the equation, we have;

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Cross-multiplying, we have;

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R = \frac {3960}{16.2}

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I'm thinking of two numbers, 12 and another number. 12 and my other number have a GCF of 6 and a LCM of 36. What's the other num
mihalych1998 [28]

Answer:

As GCF is

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and LCM is

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×

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=

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Step-by-step explanation:

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