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tatiyna
3 years ago
6

Write the equation of the line that passes through the points (6,2) (4,1)

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer: y=1/2x-1

Step-by-step explanation:

To find the equation of the line that passes through the points, we need to find out slope, m.

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

We plug our points into this formula to find slope.

m=\frac{1-2}{4-6} =\frac{-1}{-2} =\frac{1}{2}

Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.

y=mx+b

y=1/2x+b

1=1/2(4)+b

1=2+b

b=-1

Now that we know b, our equation is y=1/2x-1.

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What is the center and radius of the equation (x-8)^2 +(y+6)^2=13
tatyana61 [14]

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

(x - 8)² + (y + 6)² = 13 is in this form

with centre = (8, - 6) and r = \sqrt{13}



6 0
3 years ago
Please help with this im super lost and confused
postnew [5]

Answer:

D) C': ( -3, -2), D': ( -4, 1), E': ( -1, -2)

Step-by-step explanation:

Formula for this equation:

(x - 5, y - 3)

C:

(2, 1)

(x - 5, y - 3)

C': ( -3, -2)

E:

(4, 1)

(x - 5, y - 3)

E': ( -1, -2)

D:

(1, 4)

(x - 5, y - 3)

D': ( -4, 1)

3 0
3 years ago
Please HELPPPP pleasee
Contact [7]
C, they are the output values and output= ranget
5 0
3 years ago
Can someone help me??!
sasho [114]

When you compare two functions f(x) and g(x), you're looking for a special input x^\ast such that

f(x^\ast)=g(x^\ast)

Since you have the table with some possible candidates for x^\ast, you simply have to choose the row that gives values for f(x) and g(x) that are as close as possible (the exact solution would give the same value for f(x) and g(x), so the approximate solution will give values for f(x) and g(x) that are close to each other).

In your table, the values for f(x) and g(x) are closer when x=-0.75

8 0
3 years ago
Read 2 more answers
5x+14<4 or -2(x-8)<-2
Kitty [74]

Answer:

Step-by-step explanation:

5x+14<4 or -2(x-8)<-2

    -14 -14      -2x+16<-2

5x<-10                -16  -16

÷5  ÷5           -2x<-18

x<-2              ÷-2   ÷-2

                     x>9   (sign changes because you divide by a negative number)

x<-2 or x>9

7 0
3 years ago
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