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Inga [223]
3 years ago
14

What is the distance between A and B? Round your answer to the nearest tenth.

Mathematics
1 answer:
algol [13]3 years ago
7 0
Distance formula : sqrt (x2 - x1)^2 + (y2 - y1)^2
(-1,5)....x1 = -1 and y1 = 5
(4,1)...x2 = 4 and y2 = 1
now we sub and solve
d = sqrt ((4 - (-1)^2 + (1 - 5)^2)
d = sqrt ((5^2 + (-4^2))
d = sqrt (25 + 16)
d = sqrt 41
d = 6.4 <=== ur distance
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Andre45 [30]

Answer:

The answer to your question is  a)      y - 2 = -5(x - 3)  

                                                      b)     y = -5x + 17  

Step-by-step explanation:

Data

A (1, 12)

B (3, 2)

Process

1.- Find the slope

Formula

m = \frac{y2 - y1}{x2 - x1}

Substitution

m = \frac{2 - 12}{3 - 1} = \frac{-10}{2} = - 5

2.- Find the equation in point slope form

Equation

                             y - y1 = m(x - x1)

Substitution and equation

                           y - 2 = -5(x - 3)

3.- Find the slope-intercept form

Expand the point slope form

                           y - 2 = -5x + 15

Simplify

                           y = -5x + 15 + 2

Equation

                          y = -5x + 17                                            

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