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What is the equation in point slope form of the line that passes through the point (2 , 4) and has a slope of 3?

Question 4 options:

y=3x-10


y-4=3(x-2)


y+4=3(x+2)

Respuesta :

Solution:

Step-1: Use point slope form.

  • y - y₁ = m(x - x₁)
  • => y - 4 = 3(x - 2)      [Option B]

Step-2: Identify the equation of the line.

  • => y - 4 = 3x - 6
  • => y = 3x - 6 + 4
  • => y = 3x - 2

Option B is correct.

  • m=3
  • (2,4)

Equation in point slope form

[tex]\\ \rm\Rrightarrow y-4=3(x-2)[/tex]

[tex]\\ \rm\Rrightarrow y-4=3x-6[/tex]

[tex]\\ \rm\Rrightarrow 3x-y-6+4=0[/tex]

[tex]\\ \rm\Rrightarrow 3x-y-2=0[/tex]

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