Line slope calculator 7x+8y=71
Straight line given by points A[1; 8] and B[9; 1]
Calculation:
Slope: m = -0.875Slope-intercept form of line: y = -0.875x+8.875
Canonical form of the line equation: 7x+8y-71 = 0
Parametric form of the line equation:
x = 8t+1
y = -7t+8 ; t ∈ R
Slope angle of line: φ = -41°11'9″ = -0.7188 rad
X intercept: x0 = 10.1429
Y intercept: y0 = q = 8.875
Distance line from the origin: d0 = 6.6791
The length of the segment AB: |AB| = 10.6301
Vector: AB = (8; -7)
Normal vector: n = (7; 8)
Midpoint of the segment AB: M = [5; 4.5]
Perpendicular Bisector equation: 8x-7y-8.5 = 0
Vector OA = (1; 8) ; |OA| = 8.0623
Vector OB = (9; 1) ; |OB| = 9.0554
Scalar product OA .OB = 17
Angle ∠ AOB = 76°32'5″ = 1.3358 rad