Slope intercept form is in the form of y=mx+b, where m is the slope and b is the y-intercept.
The slope is given, which is 3.
The y-intercept is the value of y when x is 0. In the point (0,-2), x=0 and y=-2; thus, the y-intercept is -2.
Substituting m=3 and b= -2 into the slope-intercept equation gives us:
y = 3x - 2
That's your answer. Let me know if you need any clarifications.
Happy Studying~!
