To find the slope and y-intercept, we first need to put this equation in Slope Intercept Form (SIF). SIF is y=mx+b where "m" is the slope and "b" is the y-intercept.
To put the equation in slope intercept form, we need to isolate y and simplify the other terms.
5x+4y=2
-5x -5x
4y=-5x+2
/4 /4
y=5/4x+2/4
y=5/4x+1/2
Using the math above, we can see that the slope is 5/4 and the y-intercept is 1/2.