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