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What is the point-slope form of a line with slope 3 that contains the point (2, 1)?

A. y - 1 = 3(x - 2)
B. y - 2 = 3(x + 1)
C. y - 2 = 3(x - 1)
D. y + 1 = 3(x + 2)

Respuesta :

y - 1 = 3( x - 2) is the answer

Answer:

Equation A. y - 1 = 3(x - 2).

Step-by-step explanation:

Given :  A line with slope 3 that contains the point (2, 1).

To find : What is the point-slope form of a line .

Solution : We have given that

slope = 3

Point  (2, 1).

By the point-slope formula: which states that given a point [tex](x_{1} ,y_{1})[/tex] and a slope m, the equation of the line can be written as y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex]).

Here [tex](x_{1} ,y_{1})[/tex] = ( 2, 1)

m = slope = 3 .

Then Equation of line  y - [tex]1[/tex] = 3(x - [tex]2[/tex]).

Therefore, Equation A. y - 1 = 3(x - 2).