Respuesta :

VERIFIEDNOT

Find the slope of the line LM on the graph.

A) -2

B) -1

(C) -1/2

D) 1/2

We use this equation.

1-3/2-(-2)= -1/2

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

The slope of the line LM on the graph is -1/2

Option C is correct

The slope of the equation passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by the formula:

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

For the line LM

The endpoints are M(2, 1) and L(-2, 3)

Substituting x₁ = 2, y₁ = 1, x₂ = -2, y₂ = 3 into the equation [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-1}{-2-2} \\\\m = \frac{2}{-4}\\\\m = \frac{-1}{2}[/tex]

The slope of the line LM = -1/2

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