Write the equation for the line of this graph g(x) = What is the approximate value of g(-5)?
Write the equation for the line of this graph
g(x) =
What is the approximate value of g(-5)?
g(x) =
What is the approximate value of g(-5)?
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info@snapandsolve.comEquation of the line: The line passes through the points (-6, -5) and (6, 3). The slope (m) is calculated as follows:
m = (3 - (-5)) / (6 - (-6)) = 8 / 12 = 2/3
The y-intercept (b) can be found using the point-slope form: y = mx + b. Using the point (6, 3):
3 = (2/3)(6) + b
3 = 4 + b
b = -1
Therefore, the equation is: g(x) = (2/3)x - 1
Approximate value of g(-5): Substitute x = -5 into the equation:
g(-5) = (2/3)(-5) - 1 = -10/3 - 1 = -10/3 - 3/3 = -13/3
The approximate value of g(-5) is -4.33.
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