akreitlow33322 akreitlow33322
  • 18-05-2020
  • Mathematics
contestada

Write an equation in slope-intercept form of the line that passes through the points (−2, 15) and (6, 11)

Respuesta :

jzonfleek016
jzonfleek016 jzonfleek016
  • 18-05-2020

Answer:

y = [tex]-\frac{1}{2}[/tex]x + 14

Step-by-step explanation:

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

Slope = [tex]\frac{11 - 15}{6 - (-2)}[/tex]

Slope = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]

Slope intercept: y = mx + b

You can use any coordinate point to use so you can find the y-intercept.

Let's use (6, 11)

11 = [tex]-\frac{1}{2}[/tex](6) + b

11 = -3 + b

14 = b

So, the slope intercept form of these points is shown as..

y = [tex]-\frac{1}{2}[/tex]x + 14

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