Respuesta :

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

  • Given a slope and a point on the line, you can use point slope form and then rearrage your terms into slope-intercept form
  • SLOPE-INTERCEPT FORM: [tex]y=mx+b[/tex], where "m" is your slope and "b" is your y-intercept
  • POINT-SLOPE FORM:   [tex](y-y_{1}) =m(x-x_{1})[/tex], where [tex]y_{1}[/tex] represents the y-coordinate of your point, [tex]x_{1}[/tex] represents the x-coordinate of your point, and [tex]m[/tex] represents the slope

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

  • Point-slope form

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

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

[tex]y=2x+4[/tex]

  • Slope-intercept form