dasiymusicplays
dasiymusicplays dasiymusicplays
  • 20-09-2019
  • Mathematics
contestada

A line passes through ( 2, -1) and (4,5)
Which answer is the equation of the line ?

A) -3x + y = -7
B) -3x + y = 17
C) -3x + 5y = 13
D) -3x + 5y = -13

Respuesta :

Estellia
Estellia Estellia
  • 20-09-2019

Answer:

A) [tex]-3x+y=-7[/tex]

Step-by-step explanation:

Slope of the line:

[tex]\frac{5-(-1)}{4-2} =\frac{6}{2} =3[/tex]

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

[tex]y=3x+b[/tex]

Plug in x and y values of any of the points.

[tex]5=3(4)+b[/tex]

[tex]5=12+b[/tex]

[tex]b=-7[/tex]

Equation of the line:

[tex]y=3x-7[/tex]

Subtract 3x from both sides:

[tex]y-3x=-7[/tex]

[tex]-3x+y=-7[/tex]

A is correct.

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