Find the x and y intercepts using the standard form equation of: y-1/4x = -1/2

The x intercept is when the line passes through the x axis , the only time that happens is when y=0
the y intercept is when the line passes through the y axis, the only time that happens is when x=0

so to solve for them, set the other coortinate to zero so
x intercept is when y=0 so set y to zero and solve for x
0-1/4x=-1/2
-1/4x=-1/2
multiply both sides by -4/1
x=2
the x intercept is (2,0)

the y intercept is when x=0 so set x to zero
y-1/4(0)=-1/2
y=-1/2
the y intercept is (0,-1/2)

the x itnercept=(2,0)
the y intercept=(0,-1/2)