Line slope calculator 5x+8y=74


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -0.625x+9.25

Canonical form of the line equation: 5x+8y-74 = 0

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

Slope: m = -0.625

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

X intercept: x0 = 14.8

Y intercept: y0 = q = 9.25

Distance line from the origin: d0 = 7.844

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; 5.5]

Perpendicular Bisector equation: 8x-5y-20.5 = 0


Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 44
Angle ∠ AOB = 59°15'52″ = 1.0344 rad