Question

1 find slope of given points (-3, 4) (4,6)
2 (-2, 3) (8,3)

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 points $(-3,4)$ and $(4,6)$:

Step2: Assign values to variables

Let $(x_1,y_1)=(-3,4)$, $(x_2,y_2)=(4,6)$

Step3: Calculate numerator and denominator

$y_2-y_1=6-4=2$, $x_2-x_1=4-(-3)=7$

Step4: Compute slope

$m=\frac{2}{7}$
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For points $(-2,3)$ and $(8,3)$:

Step5: Assign values to variables

Let $(x_1,y_1)=(-2,3)$, $(x_2,y_2)=(8,3)$

Step6: Calculate numerator and denominator

$y_2-y_1=3-3=0$, $x_2-x_1=8-(-2)=10$

Step7: Compute slope

$m=\frac{0}{10}=0$

Answer:

1. Slope of $(-3,4)$ and $(4,6)$: $\frac{2}{7}$
2. Slope of $(-2,3)$ and $(8,3)$: $0$