Respuesta :

frika

If the line passes through the points [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2),[/tex] then the slope of the line can be determined as

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}.[/tex]

Then the equation of the line is

[tex]y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1.[/tex]

Answer: correct choice is B

Answer:

The correct answer option is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

Step-by-step explanation:

To the find of the slope of a line, we need at least two points that are on the line: [tex](x1,y_1)[/tex] and [tex](y_1,y_2)[/tex].

With the help of the coordinates of these two points, we can find the slope of the line by taking the ratio of the difference in values of y by the difference in values of x.

The slope of a line is denoted by [tex]m[/tex]:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]