The point at which the graph of the function has a tangent line with the given slope is (-5,15)
A tangent is a straight line that touches any point on a curve.
Analysis:
slope of the curve [tex]x^{2}[/tex] + 2x is equal to dy/dx = d/dx( [tex]x^{2}[/tex] + 2x) = 2x+2
Which is equal to -8
2x+2 = -8
2x = -8-2
2x = -10
x = -5
substitute x into the equation
y = [tex](-5)^{2}[/tex] + 2(-5) = 25 - 10 = 15
In conclusion, the point at which the graph of the function has a tangent at -8 is (-5,15)
Learn more about tangent to curves: brainly.com/question/22426360
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