javongood
javongood javongood
  • 23-10-2020
  • Mathematics
contestada

What is an equation of the line that passes through the points (-6,-4) and
(-4,0)?

Respuesta :

noIDEnoentry
noIDEnoentry noIDEnoentry
  • 23-10-2020

Answer:

y = 2x + 8

Step-by-step explanation:

the equation of a line in slope-intercept form is.

y = mx+b

where m is the slope and b the y-intercept

to calculate m use the gradient formula

m = (y2−y1 ) / (x2−x1)

let (x1,y1)=(-6,-4) and (x2,y2)=(-4,0)

m = (0 - (-4)) / (-4 - (-6) = 2

y = 2x+b←is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using (-6, -4) then

-4 = -12+b⇒b=8

y = 2x + 8←is the equation of line

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