triangle abc has been rotated 90° to create triangle def. write the equation, in slope-intercept form, of the side of triangle abc that is perpendicular to segment ef. you must show all work to receive credit.

y = x + 1

step-by-step explanation:

slope-intercept form : y = mx + b

where m is slope and b is the y-intercept

the side of triangle abc perpendicular to segment ef is the segment bc. (also shown in the figure how the projected lines are perpendicular to each other)

point b : (4,5)

point c : (1,2)

slope is calculated as: (y2-y1)/(x2-x1)

it doesnt matter which point is 1 or 2. taking b as 2 and c as 1:

slope = (5-2)/(4-1) = 3/3 = 1

y-intercept is clearly shown in the figure: 1

equation in slope-intercept form:

y = x + 1