You’ve provided an expression, but you are asking for an equation, so I guess you should have written:
y=5+4(x+2). In slope-intercept form this is y-5=4(x+2) so the y-intercept is 5 and the x-intercept is -2, and slope is 4.
But you could also have meant y-5+4(x+2)=0, in which case y-5=-4(x+2), so the intercepts are the same as above but the slope is -4.