contestada

Write the equation of the line that passes
through the points (-2, 5) and (6, 1).
Phase help I don’t know how to write the equation
:(

Respuesta :

CharlieBrown2002

Answer:

The slope is -1/2.

Step-by-step explanation:

Slope formula:

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

[tex]\displaystyle \frac{1-5}{6-(-2)}=\frac{-4}{8}=\frac{-4\div4}{8\div4}=\frac{-1}{2}=-\frac{1}{2}[/tex]

Therefore, the slope is -1/2, and the correct answer is -1/2.

Hope this helps!

altavistard

Answer:

y = (1/2)x - 2

Step-by-step explanation:

First we find the slope of this line.

As we move from (-2, 5) to (6, 1), x increases by 8 (this is the run) and y decreases by 4 (this is the rise).  Thus, m = rise / run = 4/8, or m = 1/2.

Let's now find the equation.   Start with y = mx + b and substitute the knowns (m = 1/2 and point (6, 1) ):

1 = (1/2)(6) + b, or 1 = 3 + b.  Then b = -2, and y = (1/2)x - 2

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