Respuesta :

renknee

Answer:

b = -50/7

Step-by-step explanation:

1. The formula to find y-intercept (b) given two points is [tex]b = y_1 - m * x_1[/tex], but let's first find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

  • [tex]\frac{18-2}{11-4}[/tex]
  • [tex]\frac{16}{7}[/tex]

2. Now that we have the slope, let's use the formula for finding the y-intercept.

  • [tex]b = 2 - \frac{16}{7} *4[/tex]
  • [tex]b = 2-\frac{64}{7}[/tex]
  • [tex]b = 2 - 9\frac{1}{7}[/tex]
  • [tex]b = -7\frac{1}{7}[/tex]
  • [tex]b = \frac{-50}{7}[/tex]

Therefore, the y-intercept is -50/7.

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