For (-4,1), (4,6) What is the angle that the line toning the given points makes with the positive direction of the x-axis?

1 Answer
Jan 27, 2018

#32^@#

Explanation:

#•color(white)(x)tantheta=m#

#"where m is the slope and "theta" is the angle between "#
#"the line and the positive direction of the x-axis"#

#"calculate m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(-4,1)" and "(x_2,y_2)=(4,6)#

#rArrm=(6-1)/(4+4)=5/8#

#rArrtantheta=5/8#

#rArrtheta=tan^-1(5/8)=32^@#