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Goshia [24]
3 years ago
8

What is the equation for the line that passes through the points (4,2) and (0,6)?

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

The equation is y=-x+6.

Step-by-step explanation:

To find the slope of this equation, we use the equation m=y2-y1/x2-x1, where m is the slope. Take one y coordinate and subtract it from the other and do the same with the x coordinates. Then, divide the difference of the y coordinates by the difference of the x coordinates. For example, 6-2/0-4. This gets us 4/-4. You can also do 2-6/4-0 which gets us -4/4. No matter what, we get -1 for each (we don't include the 1 in front of the x). To find the y-intercept, plug in the coordinates. For example, do 6=0(-1)+b or 2=4(-1)+b. No matter which you use, you get an answer of b=6. This gives you an equation of y=-x+6. Hope this helps :)

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A textbook store sold a combined total of 426 math and sociology textbooks in a week. The number of math textbooks sold was 88 m
SOVA2 [1]
Let m and s be the number of math and sociology books sold respectively.

m=s+88 we are also told that:

m+s=426, using m found above in this equation gives you:

s+88+s=426 combine like terms on left side

2s+88=426  subtract 88 from both sides

2s=338  divide both sides by 2

s=169, since m=s+88

m=169+88=257

So 257 math and 169 sociology textbooks were sold.
8 0
3 years ago
Find the distance between two points (5,10) and (-4,6)​
Helga [31]

Answer:

Explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

−

6

−

−

3

)

2

+

(

−

4

−

−

5

)

2

d

=

√

(

−

6

+

3

)

2

+

(

−

4

+

5

)

2

d = √ ( − 3 ) 2+ 1 2

d = √ 9+ 1

d = √ 10

Or

d = 3.162

rounded to the nearest thousandth

7 0
3 years ago
How is 340 divided by 17 reasonable
vivado [14]
17 goes into 34 two times

and goes into 0 zero times

So 340 / 17 = 20
8 0
3 years ago
Read 2 more answers
What are the x-intercepts of y=x^2+2x-15
Sedbober [7]

Answer:

(-5,0) and (3,0)

Step-by-step explanation:

Think about it.

What two numbers multiply to -15 and add up to 2?

The answers are 5 and -3.

So plug that into the factored form of a parabola.

y=(x+5)(x-3)

To find the x-intercepts, plug in 0 for y.

(x+5)(x-3)=0

Since we are multiplying, at least one of the terms has to equal 0.

x+5=0 \\ x-3=0 \\ \\ x=-5,3

So the x-intercepts are (-5,0) and (3,0).

8 0
3 years ago
Which is the graph for y=(x)-2? ​
Alex
The shape of this graph is

8 0
2 years ago
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