Write the equation of the line that is parallel to the graph of y=1/2x+6 and whose y-intercept is -2

The equation of the line that is parallel to the graph of y=1/2x+6 and whose y-intercept is -2 is

Given that  line that is parallel to the graph of and whose y-intercept is -2

We have to find the equation of line

The slope intercept form is given as:

y = mx + c ---- eqn 1

where "m" is the slope of line and "c" is the y-intercept

Let us first find slope of line

Given equation of line is:

------- eqn 2

On comparing eqn 1 and eqn 2,

We know that slopes of parallel lines are equal

so the slope of line parallel to given line is also

Now let us find the equation of line with slope and y - intercept is -2

Substitute and c = -2 in eqn 1

Thus the required equation of line is found

i am unable to solve this problem

step-by-step explanation: