The slope intercept form of a line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We are given that the slope is 4/5 and the point (0,1) so we know m=4/5 and b=1 so:
y=4x/5+1 now to rearrange into standard form ax+by=c
y=(4x+5)/5
5y=4x+5
5y-4x=5
So the answer is D.
However, by convention, in standard form, the equation is usually expressed with a positive coefficient for x.
5y-4x=5 SHOULD be expresses so the x has a positive coefficient, divide both sides by -1 and you have the technically correct form:
4x-5y=-5
Apparently whomever/whatever posed this question to you was unaware of this convention :P
