Line slope calculator 7x-8y=6
Straight line given by points A[2; 1] and B[10; 8]
Calculation:
Slope: m = 0.875Slope-intercept form of line: y = 0.875x-0.75
Canonical form of the line equation: 7x-8y-6 = 0
Parametric form of the line equation:
x = 8t+2
y = 7t+1 ; t ∈ R
Slope angle of line: φ = 41°11'9″ = 0.7188 rad
X intercept: x0 = 0.8571
Y intercept: y0 = q = -0.75
Distance line from the origin: d0 = 0.5644
The length of the segment AB: |AB| = 10.6301
Vector: AB = (8; 7)
Normal vector: n = (7; -8)
Midpoint of the segment AB: M = [6; 4.5]
Perpendicular Bisector equation: 8x+7y-79.5 = 0
Vector OA = (2; 1) ; |OA| = 2.2361
Vector OB = (10; 8) ; |OB| = 12.8062
Scalar product OA .OB = 28
Angle ∠ AOB = 12°5'41″ = 0.2111 rad