Respuesta :

Answer:

The equation in slope-intercept form:

  • [tex]y = x+2[/tex]

Step-by-step explanation:

Given the point

  • (-8, -6)
  • slope = m = 1

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

substituting the values m=1 and the point (-8, -6) to determine the y-intercept i.e. 'b'.

[tex]y=mx+b[/tex]

-6 = 1(-8)+b

-6 = -8 + b

b = -6+8

b = 2

Now, substituting the values m=1 and the b = 2 to determine the line equation in slope-intercept form

[tex]y=mx+b[/tex]

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

[tex]y = x+2[/tex]