Line slope calculator 5x-8y=-30


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.625

Slope-intercept form of line: y = 0.625x+3.75

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

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

Slope angle of line: φ = 32°19″ = 0.5586 rad

X intercept: x0 = -6

Y intercept: y0 = q = 3.75

Distance line from the origin: d0 = 3.18

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

Vector: AB = (8; 5)

Normal vector: n = (5; -8)

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

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

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