Question

(-8, 3) (-3, -4.5) The graph of the linear function What is the zero of g?

Answer 1

9514 1404 393

Answer:

  -6

Step-by-step explanation:

The slope of the line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4.5 -3)/(-3 -(-8)) = -7.5/5 = -1.5

Then the point-slope equation can be written as ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -3 = -1.5(x +8) . . . equation of the line through the given points.

We want the value of x for y = 0, so ...

  -3 = -1.5(x +8)

  2 = x +8 . . . . . . . divide by -1.5

  -6 = x . . . . . . subtract 8

The x-intercept of this linear function is x = -6.

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Additional comment

In slope-intercept form, the function can be written as ...

  g(x) = -1.5x -9