Line slope calculator 5x-8y=-24
Straight line given by points A[0; 3] and B[8; 8]
Calculation:
Slope: m = 0.625Slope-intercept form of line: y = 0.625x+3
Canonical form of the line equation: 5x-8y+24 = 0
Parametric form of the line equation:
x = 8t
y = 5t+3 ; t ∈ R
Slope angle of line: φ = 32°19″ = 0.5586 rad
X intercept: x0 = -4.8
Y intercept: y0 = q = 3
Distance line from the origin: d0 = 2.544
The length of the segment AB: |AB| = 9.434
Vector: AB = (8; 5)
Normal vector: n = (5; -8)
Midpoint of the segment AB: M = [4; 5.5]
Perpendicular Bisector equation: 8x+5y-59.5 = 0
Vector OA = (0; 3) ; |OA| = 3
Vector OB = (8; 8) ; |OB| = 11.3137
Scalar product OA .OB = 24
Angle ∠ AOB = 45° = 0.7854 rad