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what is the slope? (there is a table with x and y values, but the text …

Question

what is the slope? (there is a table with x and y values, but the text is not fully clear due to image quality)

Explanation:

Step1: Identify two coordinate pairs

Take $(x_1,y_1)=(1,6)$ and $(x_2,y_2)=(4,18)$ from the table.

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
$\frac{18 - 6}{4 - 1} = \frac{12}{3} = 4$

Step3: Verify with another pair

Use $(x_3,y_3)=(2,12)$ and $(x_4,y_4)=(5,24)$
$\frac{24 - 12}{5 - 2} = \frac{12}{3} = 4$

Answer:

4