Respuesta :

chetankachana

Answer:

[tex]y = -\frac14x + 8.5[/tex]

Step-by-step explanation:

Hello!

A linear function is written in the form of [tex]y = mx + b[/tex], where m is the slope and b is the y-intercept.

Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).

Slope

Slope can be calculated by the difference in the x-values divided by the difference in the y-values.

Solve

  • [tex]\frac{9 - 6}{-2 - 6}[/tex]
  • [tex]\frac{2}{-8}[/tex]
  • [tex]-\frac14[/tex]

The slope is -1/4.

Y-intercept

The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.

Solve

  • [tex]y = mx + b[/tex]
  • [tex]9 = -\frac14(-2) + b[/tex]
  • [tex]9 = 0.5 + b[/tex]
  • [tex]8.5 = b[/tex]

Equation

We can find the equation by simply plugging in all the values that we found.

Equation: [tex]y = -\frac14x + 8.5[/tex]

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