How do you write the point slope form of the equation given (4,7) and (5,1)?
1 Answer
Apr 5, 2017
Explanation:
The equation of a line in
#color(blue)"point-slope form"# is.
#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))#
where m represents the slope and# (x_1,y_1)" a point on the line"# To calculate m use the
#color(blue)"gradient formula"#
#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#
#"where " (x_1,y_1),(x_2,y_2) " are 2 coordinate points"#
#"The 2 points here are " (4,7)" and " (5,1)#
#"let " (x_1,y_1)=(4,7)" and " (x_2,y_2)=(5,1)#
#rArrm=(1-7)/(5-4)=(-6)/1=-6#
#"For " (x_1,y_1)" use either of the 2 given points"#
#"Using " m=-6" and " (x_1,y_1)=(5,1)#
#rArry-1=-6(x-5)larrcolor(red)" in point-slope form"#
