Question

question 9
the slope between the points (6, -12), (15, -3) is blank1...

question 10 5 pts
the slope between the points (6, -10), (-15, 15) is blank1...

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$.
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For Question 9:

Step1: Assign point values

Let $(x_1,y_1)=(6,-12)$, $(x_2,y_2)=(15,-3)$

Step2: Substitute into slope formula

$m=\frac{-3-(-12)}{15-6}=\frac{9}{9}$

Step3: Simplify the fraction

$m=1$
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For Question 10:

Step1: Assign point values

Let $(x_1,y_1)=(6,-10)$, $(x_2,y_2)=(-15,15)$

Step2: Substitute into slope formula

$m=\frac{15-(-10)}{-15-6}=\frac{25}{-21}$

Step3: Rewrite the result

$m=-\frac{25}{21}$

Answer:

Question 9: $1$
Question 10: $-\frac{25}{21}$