Respuesta :

JabbaTheHut
To find the slope of a line use the Point Slope Formula which is: (y2-y1) / (x2-x1)

The point with the bigger x value is (x2,y2)

Next, plug the two points into the formula: (-4 - 5) / (4 -(-2))

Note: 4-(-2) = 4+2 = 6
Simplify: -9 / 6 = - 3/2
The answer is B.

Hope this helps, and May the Force Be With You!

-Jabba

The slope of line containing the points (-2, 5) and (4, -4) is [tex]\frac{-3}{2}[/tex].

What is slope of the line?

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

What is the formula for finding the slope of line from two points?

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

Where,

m is the slope of line.

[tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2},y_{2})[/tex] are the two points.

According to the given question.

We have two points (-2,5) and (4,-4).

Therefore, the slope of the line containing the points (-2, 5) and (4, -4) is given by

[tex]m = \frac{-4-5}{4-(-2)}[/tex]

⇒[tex]m = \frac{-9}{6}[/tex]

⇒[tex]m =\frac{-3}{2}[/tex]

Hence, the slope of line containing the points (-2, 5) and (4, -4) is [tex]\frac{-3}{2}[/tex].

Find out more information about slope of the line here:

https://brainly.com/question/14511992

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