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7nadin3 [17]
3 years ago
11

How do u determine the equation of the line through each pair of points in slope-intercept form (y=mx+b). (3,0) and (2,4) (-6,3)

and (2,-2)​
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

Y =-4X +12

Y =-0.625X  -0.75

Step-by-step explanation:

(3,0) and (2,4)....

x1 y1  x2 y2

3 0  2 4

   

(Y2-Y1) (4)-(0)=   4  ΔY 4

(X2-X1) (2)-(3)=    -1  ΔX -1

   

slope= -4          

B= 12          

   

Y =-4X +12    

~~~~~~~~~~~~~~~~~

(-6,3) and (2,-2)​

x1 y1  x2 y2

-6 3  2 -2

   

(Y2-Y1) (-2)-(3)=   -5  ΔY -5

(X2-X1) (2)-(-6)=    8  ΔX 8

   

slope= -  5/8    

B= -  3/4    

   

Y =-0.625X  -0.75    

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6 0
3 years ago
Read 2 more answers
R 2x-6+3=6x-5 please help
frozen [14]

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2x - 6 + 3 = 6x - 5

2x - 3 = 6x - 5

6x - 5 = 2x - 3

Add sides 5

6x - 5 + 5 = 2x - 3 + 5

6x = 2x + 2

Subtract sides 2x

- 2x + 6x =  - 2x + 2x + 2

4x = 2

Divide sides by 4

\frac{4x}{4}  =  \frac{2}{4}  \\

x =  \frac{1}{2}  \\

_________________________________

CHECK :

2( \frac{1}{2} ) - 3 = 6( \frac{1}{2} ) - 5 \\

1 - 3 = 3 - 5

- 2 =  - 2

Thus the solution is correct....

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3 0
3 years ago
Read 2 more answers
HURRY QUICK!!
antiseptic1488 [7]

After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.

<h3>What is parabola?</h3>

Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.

General equation of the quadratic equation,

Y = ax² + bx +c

Given points,

(-2, 0),

(-1, -10),

(4, 0).

Putting the points in the general equation,

Putting (-2, 0), we get

0 = 4a - 2b + c

Putting (-1, -10), we get

-10 = a - b +c

Putting (4, 0), we get

0 = 16a + 4b +c

Solving all equations we get,

a = 2 , b = -4 , c = -16

After putting the values,

Y = 2x²- 4x- 16

2(x² - 2x - 8)

2(x²- 2x + 1 - 1 - 16)

=2(x - 1)²-34

Hence we get the required equation in the parabolic form.

To know more about parabola, visit :

brainly.com/question/21685473

#SPJ1

5 0
1 year ago
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