Line slope calculator 3x-8y=-34


Enter coordinates of two different points:

Straight line given by points A[2; 5] and B[10; 8]

Calculation:

Slope-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: m = 0.375

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