drahcir66 drahcir66
  • 14-02-2021
  • Mathematics
contestada

The slope of the line passing through ( – 5,0) and ( – 4, y) is - 1. What is the value of y?​

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MrRoyal
MrRoyal MrRoyal
  • 19-02-2021

Answer:

[tex]y = -1[/tex]

Step-by-step explanation:

Given

Points: (-5,0) and (-4, y)

Slope: [tex]m = -1[/tex]

Required

Find y

The slope (m) of a line is calculated using:

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

So, we have:

[tex]-1 = \frac{y - 0}{-4 - (-5)}[/tex]

[tex]-1 = \frac{y }{-4 +5}[/tex]

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

[tex]-1= y[/tex]

[tex]y = -1[/tex]

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