Line slope calculator 5x+8y=85
Straight line given by points A[1; 10] and B[9; 5]
Calculation:
Slope: m = -0.625Slope-intercept form of line: y = -0.625x+10.625
Canonical form of the line equation: 5x+8y-85 = 0
Parametric form of the line equation:
x = 8t+1
y = -5t+10 ; t ∈ R
Slope angle of line: φ = -32°19″ = -0.5586 rad
X intercept: x0 = 17
Y intercept: y0 = q = 10.625
Distance line from the origin: d0 = 9.01
The length of the segment AB: |AB| = 9.434
Vector: AB = (8; -5)
Normal vector: n = (5; 8)
Midpoint of the segment AB: M = [5; 7.5]
Perpendicular Bisector equation: 8x-5y-2.5 = 0
Vector OA = (1; 10) ; |OA| = 10.0499
Vector OB = (9; 5) ; |OB| = 10.2956
Scalar product OA .OB = 59
Angle ∠ AOB = 55°14'5″ = 0.964 rad