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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<em>Additional comment</em>
In slope-intercept form, the function can be written as ...
   g(x) = -1.5x -9