Respuesta :

Answer:

D. y = 3x + 2​

Explanation:

Given a line whose slope and a point on the line is given, we use the point-slope form to find the equation of the line.

The point-slope form is given as:

[tex]y-y_1=m(x-x_1)[/tex]

We are told that:

• Slope, m = 3

,

• (x1,y1)=(0,2)

Substituting these into the equation given above, we have:

[tex]\begin{gathered} y-2=3(x-0) \\ y-2=3x \\ \implies y=3x+2 \end{gathered}[/tex]

The equation of the line in slope-intercept form is: y=3x+2