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Slope = (10 - 5)/(-9 + 15) = 5/6
y = mx + b where m = slope and b = y-intercept
b = y - mx
b = 5 - (5/6) (-15)
b = 5 +12.5
b = 17.5
Equation y = 5/6 x + 17.5
Y-intercept = 17.5
X-intercept when y = 0
So
5/6 x + 17.5 = 0
5/6 x = -17.5
x = (-17.5) (6/5)
x = -21
Answer
Y intercept (0, 17.5 )
X intercept (-21 , 0)
The slope of any function is its first derivative.
If f(x)=x^2, then f'(x)= 2x .
At x=5, slope = f'(x) = 2(5) = <em>10</em> .
