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pickupchik [31]
3 years ago
15

Through (0,2) and (4,1) write the slope intercept form of the equation of the line

Mathematics
2 answers:
lesya692 [45]3 years ago
6 0

Answer:

y= -1/4x+2

Step-by-step explanation:

use the slope formula to get the slope: y2-y1/x2-x1 or 1-2/4-0 subtract to get -1/4 that is the m(slope)*x in y=mx+b now for b it is the point in which x=0 so the first point has x=0 and it's y is 2 so b is 2. put it together to get y=-1/4x+2

pantera1 [17]3 years ago
4 0

For this case we have that the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We found the slope:

(x1, y1) :( 0,2)\\(x2, y2) :( 4,1)\\m = \frac {y2-y1} {x2-x1} = \frac {1-2} {4-0} = \frac {-1} {4} = - \frac {1} {4}

Thus, the equation is of the form:

y = - \frac {1} {4} x + b

We find b, substituting any of the points:

2 = - \frac {1} {4} (0) + b\\b = 2

Finally, the equation is:

y = - \frac {1} {4} x + 2

ANswer:

y = - \frac {1} {4} x + 2

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Answer:

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Step-by-step explanation:

The triangle on the right is a special right triangle, so we know that the adjacent side to 60° is 5. Since the left triangle is a 45-45-90, the hypotenuse is the leg times √2, so the value of x is 5√2

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How do i draw two number lines that show 0.20 and 1/5 are equivalent?
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The other line must have the same integers, 0 , 1 and 2 placed in identical form as the first line. Then
   - draw an inclined straight line since the point zero,
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2(x+2)-5=3(x+1)
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Answer:

\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}

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5 0
3 years ago
Read 2 more answers
On Fridays, Jerry stops at Steak &amp; Taco Shack before he goes home. This week
Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0
3 years ago
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