Respuesta :

Slope is the gradient
Equation of the gradient is y2-y1/x2-x1
So 2-8/-3-3 = 1

The slope of the line passing through the points (3,8) and (-3,2) is 1

The slope of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

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

where m represents the slope

For the line passing through the points  (3,8) and (-3,2).

x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2

Substitute x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2 into the slope formula above

[tex]m = \frac{2-8}{-3-3}\\\\m = \frac{-6}{-6} \\\\m = 1[/tex]

Therefore, the slope of the line passing through the points (3,8) and (-3,2) is 1

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