leoiscoolcool
leoiscoolcool leoiscoolcool
  • 01-11-2018
  • Mathematics
contestada

What is an equation of the line that passes through the points (-5, 8)(−5,8) and (5, 0)(5,0)?

Respuesta :

gmany
gmany gmany
  • 04-11-2018

The point-slope form:

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

We have the points (-5, 8) and (5, 0). Substitute:

[tex]m=\dfrac{0-8}{5-(-5)}=\dfrac{-8}{10}=-0.8\\\\y-0=-0.8(x-5)\qquad|\text{use distributive property}\\\\y=-0.8x+4\qquad|\text{multiply both sides by 5}\\\\5y=-4x+20\qquad|\text{add 4x to both sides}\\\\4x+5y=20[/tex]

point-slope form: y - 0 = -0.8(x - 5)

slope-intercept form: y = -0.8x + 4

standard form: 4x + 5y = 20

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