Respuesta :

Answer:

Point slope form:

The equation of line is given by: [tex]y-y_1=m(x-x_1)[/tex]        .....[1]

where m is the slope and a line contains a point [tex](x_1, y_1)[/tex].

As per the given statement:

Slope(m) = 3

[tex](x_1, y_1)[/tex]. = (2, 1)

Substitute these in [1] we have;

[tex]y-1=3(x-2)[/tex]

therefore, the point slope form of a line with slope 3 that contains the point (2, 1) is; [tex]y-1=3(x-2)[/tex]

Answer:

y-1=3(x-2)

Step-by-step explanation:

The point-slope form of a line is

[tex]y-y_{1} =m(x-x_{1} )[/tex]

where m denotes slope of line and [tex](x_{1} ,y_{1} )[/tex] is a point on line.

From question statement,we observe that

m= 3 and [tex](x_{1} ,y_{1} )[/tex]=(2,1)

putting above values in point-slope form of line,we get

y-1=3(x-2) is point slope form of a line with slope 3 that contains the point (2,1).



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