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
Jim G.
Jan 23, 2017

#"slope "=2#

Explanation:

Calculate the slope of XY using the #color(blue)"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

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