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A line passes through points (-2,1) and (4,3) where does the line intersect the x axis and the y axis

Sagot :

sqdancefan

Answer:

  • x-intercept: (-5, 0)
  • y-intercept: (0, 5/3)

Step-by-step explanation:

The slope of the line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (3 -1)/(4 -(-2)) = 2/6 = 1/3

The y-intercept is given by ...

  b = y -mx

  b = 1 -1/3(-2) = 5/3 . . . . . the y-intercept

The slope-intercept equation of the line is ...

  y = 1/3x +5/3

The x-intercept can be found by setting y=0 and solving for x.

  0 = 1/3x +5/3

  0 = x +5 . . . . . . multiply by 3

  -5 = x . . . . . . . subtract 5

The x-intercept is (-5, 0); the y-intercept is (0, 5/3).

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