Respuesta :

The other points on the line are as follows:

(3, 4)(6, 5)(9, 6)

How to find the point on a line using slope?

The point (-6, 1) is on a line that has a slope of 1/3.

The equation of a line can be described as follows:

y = mx + b

  • m = slope
  • b = y-intercept

Therefore,

y = 1 / 3 x + b

(-6, 1)

Therefore,

y = 1 / 3(-6) + b

1 = -2 + b

b = 1 + 2

b = 3

Therefore,

y = 1 / 3 x + 3

when x = 3

y = 1 / 3 (3) + 3

y = 1 + 3

y = 4

(3, 4)

when x = 6

y =  1 / 3 (6) + 3

y = 2 + 3

y = 5

when x = 9

y = 1 / 3 (9) + 3

y = 3 + 3

y = 6

The other points on the line are as follows:

(3, 4)(6, 5)(9, 6)

learn more on slope here: https://brainly.com/question/16210865

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