avastout08 avastout08
  • 22-03-2022
  • Mathematics
contestada

Write in slope-intercept form an equation of the line that passes through the given points.

(6,8),(3,−9)

Respuesta :

trixieanneborce57
trixieanneborce57 trixieanneborce57
  • 22-03-2022

Answer:

[tex]51.6 |54x81..65107 {36.01(21. \sqrt[365.]{gaa} }^{2} |[/tex]

Answer Link
mooneter1 mooneter1
  • 22-03-2022

Answer:

y = 17/3x - 26

Step-by-step explanation:

Remember the slope formula:

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

[tex]m = \frac{-9-8}{3-6}\\\\m = \frac{-17}{3}\\\\m = \frac{17}{3}[/tex]

Slope: 17 / 3

First part of equation: y = 17/3x + b

To find b, plug in the values from the points we know:

[tex]-9 = \frac{17}{3} * 3 + b\\-9=17+b\\b+17=-9\\b=-26\\[/tex]

Therefore, the Y-intercept is -26

Combining all the parts, the answer is y = 17/3x - 26

Answer Link

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