Question

kuta software - infinite algeb
finding slope from tv
find the slope of the line thro

1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (17, -13), (17, 8)

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 problem 1: $(19, -16), (-7, -15)$

Step1: Assign coordinates

Let $(x_1,y_1)=(19,-16)$, $(x_2,y_2)=(-7,-15)$

Step2: Substitute into slope formula

$m=\frac{-15 - (-16)}{-7 - 19}=\frac{-15+16}{-26}$

Step3: Simplify the expression

$m=\frac{1}{-26}=-\frac{1}{26}$

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For problem 3: $(-4, 7), (-6, -4)$

Step1: Assign coordinates

Let $(x_1,y_1)=(-4,7)$, $(x_2,y_2)=(-6,-4)$

Step2: Substitute into slope formula

$m=\frac{-4 - 7}{-6 - (-4)}=\frac{-11}{-6+4}$

Step3: Simplify the expression

$m=\frac{-11}{-2}=\frac{11}{2}$

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For problem 5: $(17, -13), (17, 8)$

Step1: Assign coordinates

Let $(x_1,y_1)=(17,-13)$, $(x_2,y_2)=(17,8)$

Step2: Substitute into slope formula

$m=\frac{8 - (-13)}{17 - 17}=\frac{8+13}{0}$

Step3: Identify undefined slope

Division by 0 is undefined, so the slope is undefined.

Answer:

1. $-\frac{1}{26}$
2. $\frac{11}{2}$
3. Undefined