Respuesta :

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y-intercept of the interpolation line is 3

Solution:

Given data points (-1,1) and (2,7)

x₁ = -1, y₁ = 1, x₂ = 2, y₂ = 7

Slope m = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{7-1}{2-(-1)}[/tex] = 2

To find Y-intercept of the line, we use the formula y = mx + c

Let y = 7 and x = 2,

7 = 2 * 2 + c

7 - 4 = c

c = 3

y-intercept of the interpolation line would be 3

How to find slope of the line?

  • Pick two points on the line and determine their coordinates.
  • Determine the difference in y-coordinates of these two points (vertical).
  • Determine the difference in x-coordinates for these two points (horizontal).
  • Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

To know more about about slope of line, check out:

https://brainly.com/question/16949303

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