yeseniarangel2627
yeseniarangel2627 yeseniarangel2627
  • 02-01-2020
  • Mathematics
contestada

A line contains the points (4, 2) and (0, -1). What is the equation of the line? Show your work.

Respuesta :

gmany
gmany gmany
  • 02-01-2020

Answer:

[tex]\large\boxed{y=\dfrac{3}{4}x-1}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

We have two points (4, 2) and (0, -1) → b = -1.

Calculate the slope:

[tex]m=\dfrac{-1-2}{0-4}=\dfrac{-3}{-4}=\dfrac{3}{4}[/tex]

Finally:

[tex]y=\dfrac{3}{4}x-1[/tex]

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