Respuesta :

Space

Answer:

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

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

  • Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define Points

A (-6, 10)

B (-2, 7)

Step 2: Find slope m

  1. Substitute:                    [tex]m=\frac{7-10}{-2+6}[/tex]
  2. Subtract/Add:               [tex]m=\frac{-3}{4}[/tex]

And we have our final answer!

theleangreenbean

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

To find the slope of the line, we use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when we are given the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

When we plug the points A(-6,10) and B(-2,7) into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], we get the equation [tex]\frac{7-10}{-2-(-6)}[/tex].

[tex]\frac{7-10}{-2-(-6)}\\= \frac{-3}{4}[/tex]

Therefore, the slope of the line is [tex]-\frac{3}{4}[/tex].

I hope this helps!

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