Line slope calculator 5x+8y=58


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[10; 1]

Calculation:

Slope: m = -0.625

Slope-intercept form of line: y = -0.625x+7.25

Canonical form of the line equation: 5x+8y-58 = 0

Parametric form of the line equation:
x = 8t+2
y = -5t+6      ; t ∈ R

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

X intercept: x0 = 11.6

Y intercept: y0 = q = 7.25

Distance line from the origin: d0 = 6.148

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; 3.5]

Perpendicular Bisector equation: 8x-5y-30.5 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 26
Angle ∠ AOB = 65°51'16″ = 1.1494 rad