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∙xtanθ=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=y2−y1x2−x1
"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)=5/8⇒m=6−14+4=58
rArrtantheta=5/8⇒tanθ=58
rArrtheta=tan^-1(5/8)=32^@⇒θ=tan−1(58)=32∘