Line slope calculator 8x-5y=30


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 1.6

Slope-intercept form of line: y = 1.6x-6

Canonical form of the line equation: 8x-5y-30 = 0

Parametric form of the line equation:
x = 5t+5
y = 8t+2      ; t ∈ R

Slope angle of line: φ = 57°59'41″ = 1.0122 rad

X intercept: x0 = 3.75

Y intercept: y0 = q = -6

Distance line from the origin: d0 = 3.18

The length of the segment AB: |AB| = 9.434

Vector: AB = (5; 8)

Normal vector: n = (8; -5)

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

Perpendicular Bisector equation: 5x+8y-85.5 = 0

Vector OA = (5; 2) ;   |OA| = 5.3852
Vector OB = (10; 10) ;   |OB| = 14.1421
Scalar product OA .OB = 70
Angle ∠ AOB = 23°11'55″ = 0.4049 rad