Line slope calculator 3x-8y=-34
Straight line given by points A[2; 5] and B[10; 8]
Calculation:
Slope: m = 0.375Slope-intercept form of line: y = 0.375x+4.25
Canonical form of the line equation: 3x-8y+34 = 0
Parametric form of the line equation:
x = 8t+2
y = 3t+5 ; t ∈ R
Slope angle of line: φ = 20°33'22″ = 0.3588 rad
X intercept: x0 = -11.3333
Y intercept: y0 = q = 4.25
Distance line from the origin: d0 = 3.9794
The length of the segment AB: |AB| = 8.544
Vector: AB = (8; 3)
Normal vector: n = (3; -8)
Midpoint of the segment AB: M = [6; 6.5]
Perpendicular Bisector equation: 8x+3y-67.5 = 0
Vector OA = (2; 5) ; |OA| = 5.3852
Vector OB = (10; 8) ; |OB| = 12.8062
Scalar product OA .OB = 60
Angle ∠ AOB = 29°32'20″ = 0.5155 rad