Question

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)

Answer 1

• m=3
• (2,4)

Equation in point slope form

`\\ \rm\Rrightarrow y-4=3(x-2)`

`\\ \rm\Rrightarrow y-4=3x-6`

`\\ \rm\Rrightarrow 3x-y-6+4=0`

`\\ \rm\Rrightarrow 3x-y-2=0`

Answer 2

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.