To get this line, you must first figure out the slope. When a line is parallel to another line, their slopes are the same; however, when they are perpendicular, their slopes are negative reciprocals (flipped fractions) of each other. For example, a line perpendicular to a line with a slope of -3/2 would have a slope of +2/3, and a line perpendicular to a line with a slope of 4 would have a slope of -1/4. The slope of the given equaiton can be found this way:

x-2y=4

x=2y+4

2y=x-4

y=1/2x-2

Since y=mx+b with m being slope and b being y-intercept, then 1/2 is the slope of the given line. Therefore, the slope of the perpendicular line must be the negative reciprocal, which is -2. So far, you have the slope–now you just need the y-intercept. This can be found by substituting the point on the line that you know–the x-intercept–into the equation. An x-intercept of 4 would be found at (4,0) and by plugging this into y=mx+b we can figure out the y-intercept:

y=mx+b

(0)=(-2)(4)+b

0=-8+b

b=8

According to this, the y-intercept is 8. By putting this into the y=mx+b equation, we get the equation:

y=-2x+8

Now, to convert it to the form ax+by=c, we just have to do a bit more math:

y=-2x+8

2x+y=8

And voila, there is your answer. I hope it’s not too confusing.

Hey there. I wish this solves your challenge. (y+four)two that’s (y+four) to the moment vigour, will also be written as (y+four)(y+four). Now in case you use foil, to multiply the whole thing out, then you can get (y+four)(y+four)= Y squared + four occasions y + four occasions y + four squared. This might same Y squared +8y (or eight occasions y)+sixteen. So (y+four)two is the identical as (y2+8y+four^two). So believe that y=one million. Now plug that during to (y+four)^two, such as you did, and you’re going to get 25. And in case you plug y=one million, into (y2+8y+four^two), you might additionally get 25.