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Darren is finding the equation in the form y=mx+b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation?

Respuesta :

texaschic101
(2,18)(-3,8)
slope(m) = (8 - 18) / (-3 - 2) = -10 / -5 = 2

y = mx + b
slope(m) = 2
use either of ur points...(2,18)...x = 2 and y = 18
now we sub and find b, the y int
18 = 2(2) + b
18 = 4 + b
18 - 4 = b
14 = b <===ur y int

The value of b, the y-intercept of a line that passes through the points  (2, 18) and (–3, 8) is 14.

Slope intercept equation

The slope intercept equation is used to represent a linear graph or table. It is represented as follows:

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore,

m = 8 - 18 / -3 - 2 = - 10 / - 5 = 2

Therefore, using (2, 18)

y = mx + b

18 = 2(2) + b

b = 18 - 4

b = 14

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