Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. if the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? first, estimate the amount and then find the exact measurement. in two or more complete sentences, explain how you solved the problem.

there are (at least) a couple of ways to look at this. one can work with the whole space, subract the width of the picture, then divide the result by 2. since the picture is about 2 feet wide, there will be about 8-2=6 feet of space that will be evenly divided on each side of the picture. that is, the picture will be about 3 feet from the edge of the wall.

or, one can work with half the space. the 4-foot distance from the center to the edge of the wall will be occupied by half the width of the picture, about 1 foot. hence the distance from the picture to the edge of the wall will be about 3 feet.

the exact half-width of the picture is 11 1/8 inches, so is 7/8 inches short of 1 foot. thus the distance to the edge of the wall will be 7/8 inch more than 3 feet.

the exact distance to the edge of the wall is 3 ft, 7/8 inch; or 36 7/8 inches.

Use slope-intercept form, y = mx + b, where m = slope and b=y-intercept

y = 3x + 4