Question

slope of secant lines
score: 2/8 penalty: none
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question
for the function ( f(x)=-x^{2}-4x - 3 ), find the slope of the secant
line between ( x=-7 ) and ( x=-1 ).
answer attempt 1 out of 2
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nov 5

Explanation:

Step1: Find \( f(-7) \)

Substitute \( x = -7 \) into \( f(x)=-x^{2}-4x - 3 \).

$$
LATEXBLOCK0
$$

Step2: Find \( f(-1) \)

Substitute \( x=-1 \) into \( f(x)=-x^{2}-4x - 3 \).

$$
LATEXBLOCK1
$$

Step3: Use the slope formula for secant line \( m=\frac{f(x_2)-f(x_1)}{x_2 - x_1} \)

Here \( x_1=-7,x_2=-1,f(x_1)=-24,f(x_2) = 0 \)

$$ m=\frac{0-(-24)}{-1-(-7)}=\frac{24}{6}=4 $$

Answer:

\(4\)