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Answer :

Answer:

slope = 4

Step-by-step explanation:

We can find the slope of a line when knowing 2 points by using the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the first point, respectively. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of the second point, respectively.

The two points we have are (2,8) and (0,0). So, in this case, [tex]x_1[/tex] = 2, [tex]y_1[/tex] = 8, [tex]x_2[/tex] = 0, and [tex]y_2[/tex] = 0. Let's substitute those values into the formula and solve to get the slope:

[tex]m =[/tex] [tex]\frac{0-8}{0-2}[/tex]

[tex]\frac{-8}{-2}[/tex]

[tex]4[/tex]

So, the slope is 4.