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insens350 [35]
3 years ago
6

Write an equation of the line that passes through a pair of points: (2, 3), (4, -2)

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

C. y = -5/2x +8

Step-by-step explanation:

To solve first find the slope using the slope formula which is m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. To find the slope simply plug in the points, \frac{-2-3}{4-2} which equals -5/2. Next, put the equation into slope-point form, which is y-y_{1} = m(x-x_{1}). I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+8.

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2 years ago
Solve the system by substitution<br> -4.5x-2y=-12.5<br> 3.25x-y=-0.75
gogolik [260]

Answer:

The answer to your question is: x = 1, y = 4

Step-by-step explanation:

I'll change decimals to fractions

4.5 = 9/2

12.5 = 25/2

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                             -9/2 x - 2 y = - 25/2         (I)

                             13/4 x  -   y  = - 3/4            (ll)

Process

               from (II)     y = 13/4x  + 3/4

Sunstitution             -9/2x -2(13/4 x + 3/4) = - 25/2

                               -9/2 x - 13/2 x - 3/2 = -25/2

Multiply by 2         -9 x - 13 x - 3 = -25

                             -22 x = -25  + 3

                            -22 x = -22

                             x = 22/22

                            x = 1

                             y = 13/4 (1) + 3/4

                             y = 16/4

                             y = 4                                          

7 0
3 years ago
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