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^@