MylaniC559418 MylaniC559418
  • 25-10-2022
  • Mathematics
contestada

Write an equation of the line passing through the points (3,2) and (-2,- 18).

Respuesta :

BatoolI114486 BatoolI114486
  • 25-10-2022

To answer this question, we can use the two-point form of the line equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot(x-x_1)[/tex]

Then, we have the points:

(3, 2) --->x1 = 3, y1 = 2

(-2, -18)---> x2 =-2, y2 = -18

Then, we have:

[tex]y-2=\frac{-18-2}{-2-3}\cdot(x-3)\Rightarrow y-2=\frac{-20}{-5}\cdot(x-3)\Rightarrow y-2=4(x-3)[/tex]

The question in the slope-intercept form is:

[tex]y=4x-10[/tex]

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