Respuesta :

Stephen46

Answer:

The answer is

[tex]y = \frac{1}{2} x - 8[/tex]

Step-by-step explanation:

To find the equation of the line that passes through two points , first find the slope and then use the formula

y - y1 = m(x - x1)

where m is the slope

(x1 , y1) are any of the points

To find the slope of the line using two points we use the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Slope of the line using points

(2, -7) and (8, -4) is

[tex] \frac{ - 4 + 7}{8 - 2} = \frac{3}{6} = \frac{1}{2} [/tex]

Now the equation of the line using point (2 , - 7) and slope 1/2 is

[tex] y + 7 = \frac{1}{2} (x - 2)[/tex]

[tex]y + 7 = \frac{1}{2} x - 1[/tex]

[tex]y = \frac{1}{2} x - 1 - 7[/tex]

We have the final answer as

[tex]y = \frac{1}{2} x - 8[/tex]

Hope this helps you

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