Question

What is the y-intercept of the line represented by the following equation?
5x-3y=-2
A.(0,2/3)
B.(2/3,0)
C.(0,-2/5)
D.(-2/5,0)

help please!!

Answer 1

5x-3y=-2
i.e. 5x+2=3y
or 3y = 5x+2
\[y= \frac{5}{3}x+{2}{3}\] comparing it with y=mx+ c we find y intercept =\[c=\frac{2}{3}\]
Thus option A.(0,2/3) is correct

Another way to find y-intercept is plug x=0 in the equation so we find 5*0-3y=-2
i.e. -3y =-2
i.e. y= 2/3
Thus (x,y) = (0, 2/3) is the ans

Answer 2

thank you!