9514 1404 393
Answer:
-6
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