Line slope calculator 8x-3y=42


Enter coordinates of two different points:

Straight line given by points A[6; 2] and B[9; 10]

Calculation:

Slope-intercept form of line: y = 2.6667x-14

Canonical form of the line equation: 8x-3y-42 = 0

Parametric form of the line equation:
x = 3t+6
y = 8t+2      ; t ∈ R

Slope: m = 2.6667

Slope angle of line: φ = 69°26'38″ = 1.212 rad

X intercept: x0 = 5.25

Y intercept: y0 = q = -14

Distance line from the origin: d0 = 4.9157

The length of the segment AB: |AB| = 8.544

Vector: AB = (3; 8)

Normal vector: n = (8; -3)

Midpoint of the segment AB: M = [7.5; 6]

Perpendicular Bisector equation: 3x+8y-70.5 = 0


Vector OA = (6; 2) ;   |OA| = 6.3246
Vector OB = (9; 10) ;   |OB| = 13.4536
Scalar product OA .OB = 74
Angle ∠ AOB = 29°34'40″ = 0.5162 rad