Identify the slope and y-intercept of the graph of the equation. y = 1/4x + 3 a slope: 1/4 ; y-intercept: 3 b slope: 1/4; y-intercept: –3 c slope: 4; y-intercept: 3 d slope: 4 ; y-intercept: –3

Ooo. 
Fun. 

So the equation: y = 1/4x = 3 is in slope-intercept form where, y = mx + b.
'm' is the slope and 'b' is the y-intercept. 

Knowing this, we can easily conclude that Choice A is the correct answer. 

Why?

Well, just look below.
y=1/4x + 3
y = mx + b

We simply match up the values with the slope-intercept formula and see that 3 falls under the y-intercept category, and m, which always equals slope is replaced by 1/4.

Thus, A is the correct choice.