Line slope calculator 7x+2y=27
Straight line given by points A[1; 10] and B[3; 3]
Calculation:
Slope: m = -3.5Slope-intercept form of line: y = -3.5x+13.5
Canonical form of the line equation: 7x+2y-27 = 0
Parametric form of the line equation:
x = 2t+1
y = -7t+10 ; t ∈ R
Slope angle of line: φ = -74°3'17″ = -1.2925 rad
X intercept: x0 = 3.8571
Y intercept: y0 = q = 13.5
Distance line from the origin: d0 = 3.7087
The length of the segment AB: |AB| = 7.2801
Vector: AB = (2; -7)
Normal vector: n = (7; 2)
Midpoint of the segment AB: M = [2; 6.5]
Perpendicular Bisector equation: 2x-7y+41.5 = 0
Vector OA = (1; 10) ; |OA| = 10.0499
Vector OB = (3; 3) ; |OB| = 4.2426
Scalar product OA .OB = 33
Angle ∠ AOB = 39°17'22″ = 0.6857 rad