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3 years ago

What is the slope-intercept equation of the line going through (-2,5) and (1,-1)?

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

y = -2x+1

Step-by-step explanation:

The slope is found by

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

= (-1-5)/(1--2)

= -6/(1+2)

= -6/3

= -2

Then we can use point slope form to make an equation

y-y1 = m(x-x1)

y-5 = -2(x--2)

y-5 = -2(x+2)

Distribute

y-5 = -2x -4

Add 5 to each side

y-5+5 = -2x-4+5

y = -2x+1

This is in point slope form

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Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an

USPshnik [31]

Answer:

Length = 200 m

Breadth = 175 m

Step-by-step explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

= 12000 ÷ 16

= 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

30x = 750

x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

Breadth = 7*25 = 175 m

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2 years ago

Which is the equation of a line that has a slope of 4 and passes through point (2,5)?

SSSSS [86.1K]

Answer:

y = 4x - 3

Step-by-step explanation:

I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)

5 0

3 years ago

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Slope of (3, 300)(5, 180) in y=mx+b form

vredina [299]

Answer: ok so if you look at the difference it is 120 in 2 hours so to find 1 hour you divide it by 2, or split it in half and that means 60 and it is Decreasing so c is the answer. As for what y= it is y=-60x+480

60 cubic feet and you start out with 480

Step-by-step explanation:

120/2=60

decreasing

And y=-60x+480

6 0

3 years ago

Fully simplify 14xy^4(-14y)

alina1380 [7]

The answer would be ~-196xy^5~

Hope this helps

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3 years ago

If a varies directly as b, and a = 28 when b = 7, find b when a = 5.

Jlenok [28]

Answer:

Value of b = $\frac{5}{4}$ =1.25.

Step-by-step explanation:

Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.

*if one variable changes the other changes in proportion to the first.

*If a is directly proportional to b i.e,

$a \propto b$ then it is of the form

a = kb ;where k is constant variation.

Given: a varies directly as b;

then, by definition of direct variation;

we have;

$a = kb$ .....[1]

Substitute the value of a =28 and b =7 to solve for k;

$28 = k(7)$

Divide both sides by 7 we have;

$\frac{28}{7}=\frac{7k}{7}$

Simplify:

k =4

now, find b using same method when a =5;

then;

after substituting the value of a = 5 and k=4 in [1] ;

$5=(4)b$

Divide by 4 to both sides we get;

$b =\frac{5}{4}$

Therefore, the value of b = $\frac{5}{4}$ =1.25

4 0

3 years ago

Read 2 more answers