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What is the slope of the line that passes through the points ( − 1 , − 7 ) (−1,−7) and ( 1 , − 13 ) (1,−13)? Write your answer in simplest form.

Sagot :

Esther

Answer:

[tex]y = -3x -10[/tex]

Step-by-step explanation:

Slope-intercept formula: [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

Find slope of  (−1, −7) and (1, -13)

[tex]\frac{y_2-y_2}{x_2-x_1}\\\\\\frac{-13-(-7)}{1-(-1)}\\\\\\frac{-6}{2}\\\\\-3[/tex]

[tex]y = mx + b[/tex]

[tex]y = -3x +b[/tex]

[tex]y = -3x +b\\-7 = -3(-1) + b\\-7 = 3 +b\\-3 -3\\-10 = b[/tex]

[tex]y = -3x -10[/tex]

Hope this helps!

View image Esther
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