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QveST [7]
3 years ago
9

Line passes through points (-1,-2) and (1,4). What is the equation of the line?

Mathematics
2 answers:
scoray [572]3 years ago
5 0

Answer: y=3x+1

Step-by-step explanation:

First find slope using formula

m= y2–y1/x2–x1

m= 4– (—2)/ 1— (—1)

m= 3

So,

y= mx+b

y=3x+b. Using (1,4) plug into equation of a line

4= 3(1)+b

4 – 3= b

1= b. So,

y=3x+1

GenaCL600 [577]3 years ago
3 0

Answer:

y= 3x+1.

Step-by-step explanation:

(-1,-2) and (1,4)

x1 = -1

x2= 1

y1= -2

y2=4

y - y1= (y2 - y1)

______ ( x - x1)

(x2 - x1)

y- (-2)=(4-(-2))

_____ (x- (-1))

(1-(-1))

y+2= 4+2

___ (x+1)

1+1

y+2= 6

_ (x + 1)

2

y+2=3(x+1)

y+2=3x+3

y=3x+1.

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Answer: 72 u^2

<h3>Explanation:</h3>

What we know:

  • Both triangles are identical
  • Both rectangles are different
  • There are values in units^2 given
  • There are right angles

How to solve:

We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)

<h2>Process:</h2>

Triangles

Set up equation                                                 A = 1/2(bh)

Substitute                                                           A = 1/2(4*3)

Simplify                                                               A = 1/2(12)

Solve                                                                   A = 6

Double                                                                     *2

                                                                           A = 12 u^2

Rectangles

Set up equation                                                 A = lh

Substitute                                                           A = (14)(3)

Simplify                                                               A = 42 u^2

Set up equation                                                 A = lh

Substitute                                                           A = [14-(4+4)](3)

Simplify                                                               A = (14-8)(3)

Simplify                                                               A = (6)(3)

Multiply                                                               A = 18 u^2

Total Area

Set up equation                                                 A = R1+R2+T

Substitute                                                           A = 42 + 18 + 12

Simplify                                                               A = 60 + 12

Solve                                                                   A = 72 u^2

<h3>Answer: 72 u^2</h3>
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