Segment XY represents the path of an airplane that passes through the coordinates (2, 1) and (4 5). What is the slope of a line that represents the path of another airplane that is traveling parallel to the first airplane?

1 Answer
Jan 23, 2017

"slope "=2slope =2

Explanation:

Calculate the slope of XY using the color(blue)"gradient formula"gradient formula

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))
where m represents the slope and (x_1,y_1),(x_2,y_2)" 2 coordinate points."

The 2 points here are (2 ,1) and (4 ,5)

let (x_1,y_1)=(2,1)" and " (x_2,y_2)=(4,5)

rArrm=(5-1)/(4-2)=4/2=2

The following fact must be known to complete the question.

color(blue)"parallel lines have equal slopes"

Thus the slope of line of parallel airplane is also 2