Line slope calculator 8x-3y=10


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 2.6667x-3.3333

Canonical form of the line equation: 8x-3y-10 = 0

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

Slope: m = 2.6667

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

X intercept: x0 = 1.25

Y intercept: y0 = q = -3.3333

Distance line from the origin: d0 = 1.1704

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

Vector: AB = (3; 8)

Normal vector: n = (8; -3)

Midpoint of the segment AB: M = [3.5; 6]

Perpendicular Bisector equation: 3x+8y-58.5 = 0


Vector OA = (2; 2) ;   |OA| = 2.8284
Vector OB = (5; 10) ;   |OB| = 11.1803
Scalar product OA .OB = 30
Angle ∠ AOB = 18°26'6″ = 0.3218 rad