Question

12. Encuentra el valor de b, sabiendo que la ecuación de la recta es Y = MX + B
(3,4) (5,7)
(6,4) (4,3)
(2,5)(4,8)

Answer 1

Explicación paso a paso:

1. x1 = 3, y1 = 4, x2 = 5, y2 = 7

m = (y2 - y1)/(x2 - x1) = (7 - 4)/(5 - 3) = 3/2

(y - y1) = m(x - x1)

(y - 4) = (3/2) (x - 3)

y = 3x/2 - 3(3/2) + 4

y = 3x/2 - 1/2

Por lo tanto b = -1/2

2. x1 = 6, y1 = 4, x2 = 4, y2 = 3

m = (y2 - y1)/(x2 - x1) = (3 - 4)/(4 - 6) = 1/2

(y - y1) = m(x - x1)

(y - 4) = (1/2) (x - 6)

y = x/2 - 6(1/2) + 4

y = x/2 + 1

Por lo tanto b = 1

3. x1 = 2, y1 = 5, x2 = 4, y2 = 8

m = (y2 - y1)/(x2 - x1) = (8 - 5)/(4 - 2) = 3/2

(y - y1) = m(x - x1)

(y - 5) = (3/2) (x - 2)

y = 3x/2 - 2(3/2) + 5

y = x/2 + 2

Por lo tanto b = 2