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^@32

Explanation:

•color(white)(x)tantheta=mxtanθ=m

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

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

•color(white)(x)m=(y_2-y_1)/(x_2-x_1)xm=y2y1x2x1

"let "(x_1,y_1)=(-4,1)" and "(x_2,y_2)=(4,6)let (x1,y1)=(4,1) and (x2,y2)=(4,6)

rArrm=(6-1)/(4+4)=5/8m=614+4=58

rArrtantheta=5/8tanθ=58

rArrtheta=tan^-1(5/8)=32^@θ=tan1(58)=32