Respuesta :

Answer:

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

Step-by-step explanation:

The point-slope form of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

Where

m is the slope

[tex]x_1[/tex] is the x-coordinate of the point given (passing through the line)

[tex]y_1[/tex] is the y-coordinate of the point given (passing through the line)

Now,

Given,

Slope = m = 3

[tex]x_1[/tex] = 1

[tex]y_1[/tex] = 2

Now, we simply plug these into the formula for point-slope form of a line:

[tex]y-y_1=m(x-x_1)\\y-2=3(x-1)[/tex]

This is the point-slope form.