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
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^@#