Find the slope of the line that passes through the points (5,2) and (6,10).
A. slope= 1/8
B. slope= 8
C. slope= -1/8
D. slope = -8

Respuesta :

Answer:

B

Step-by-step explanation:

To find the slope between any two points, we can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (5, 2) be (x₁, y₁) and let (6, 10) be (x₂, y₂).

Substitute them into the slope formula to acquire:

[tex]\displaystyle m=\frac{10-2}{6-5}[/tex]

Subtract and simplify:

[tex]\displaystyle m=\frac{8}{1}=8[/tex]

Therefore, our slope is 8.

So, our answer is B.

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