contestada

Write the point-slope form of the equation for a line that passes through (6, -1) with a slope of 2

Respuesta :

Answer:

The point-slope form is [tex]y+1=2(x-6)[/tex].

Step-by-step explanation:

Point-slope is a specific form of linear equations in two variables.

                                              [tex]y-b=m(x-a)[/tex]

When an equation is written in this form, [tex]m[/tex] gives the slope of the line and [tex](a, b)[/tex] is a point the line passes through.

We know that the line passes through (6, -1) with a slope of 2. Well, we simply plug [tex]m=2[/tex], [tex]a=6[/tex], and [tex]b=-1[/tex] into point-slope form.

The point-slope form is:

[tex]y+1=2(x-6)[/tex]