Line slope calculator 8x-5y=14


Enter coordinates of two different points:

Straight line given by points A[3; 2] and B[8; 10]

Calculation:

Slope-intercept form of line: y = 1.6x-2.8

Canonical form of the line equation: 8x-5y-14 = 0

Parametric form of the line equation:
x = 5t+3
y = 8t+2      ; t ∈ R

Slope: m = 1.6

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

X intercept: x0 = 1.75

Y intercept: y0 = q = -2.8

Distance line from the origin: d0 = 1.484

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

Vector: AB = (5; 8)

Normal vector: n = (8; -5)

Midpoint of the segment AB: M = [5.5; 6]

Perpendicular Bisector equation: 5x+8y-75.5 = 0


Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (8; 10) ;   |OB| = 12.8062
Scalar product OA .OB = 44
Angle ∠ AOB = 17°39' = 0.3081 rad