A: Write an equation of a line in slope intercept form that is parallel to the line y=1/2x+4

Answer 1

y= 1/2x + 4

is often how people write

y= (1/2)x + 4

a parallel line has the same slope = the coefficient of the x term, when the linear equation is solved for y.

a parallel line would be y= (1/2)x + b where b is any real number except 4. If b=4, it would no longer be a parallel line, but it would be the same identical line

so, a parallel line would be

y=x/2 +1

or

y = x/2 +2

or

y= x/2 +3

or

y= x/2 +5

or

y=x/2 -3

or

y= x/2 -4

or

y=x/2 -5

etc

but as written it says y = 1/2x + 4 which is a rectangular hyperbola, not a linear equation.

still same result for a parallel line, just change 4 to any real number and the curved line is parallel to the original line