Line slope calculator 5x-8y=-3


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 1] and B[9; 6]

Calculation:

Slope: m = 0.625

Slope-intercept form of line: y = 0.625x+0.375

Canonical form of the line equation: 5x-8y+3 = 0

Parametric form of the line equation:
x = 8t+1
y = 5t+1      ; t ∈ R

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

X intercept: x0 = -0.6

Y intercept: y0 = q = 0.375

Distance line from the origin: d0 = 0.318

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

Vector: AB = (8; 5)

Normal vector: n = (5; -8)

Midpoint of the segment AB: M = [5; 3.5]

Perpendicular Bisector equation: 8x+5y-57.5 = 0

Vector OA = (1; 1) ;   |OA| = 1.4142
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 15
Angle ∠ AOB = 11°18'36″ = 0.1974 rad