Respuesta :

Answer:

y = 2x+1

Step-by-step explanation:

The slope-intercept form is given by y = mx + c

where m is the slope, and c is the y-intercept.

Let's apply the point-slope form,

that is: [tex]\frac{y-y{__1}}{x-x{__1}}} = m[/tex]

Given [tex]({x__1},{y__1}) = (2,5)[/tex] and [tex]m = 2[/tex]

Let plug in all these values into the point-slope form.

[tex]\frac{y-5}{x-2}} = 2[/tex]

y-5 = 2x-4

y = 2x-4+5

y = 2x+1