Line slope calculator 4x-5y=-30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[5; 10]

Calculation:

Slope: m = 0.8

Slope-intercept form of line: y = 0.8x+6

Canonical form of the line equation: 4x-5y+30 = 0

Parametric form of the line equation:
x = 5t
y = 4t+6      ; t ∈ R

Slope angle of line: φ = 38°39'35″ = 0.6747 rad

X intercept: x0 = -7.5

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 4.6852

The length of the segment AB: |AB| = 6.4031

Vector: AB = (5; 4)

Normal vector: n = (4; -5)

Midpoint of the segment AB: M = [2.5; 8]

Perpendicular Bisector equation: 5x+4y-44.5 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (5; 10) ;   |OB| = 11.1803
Scalar product OA .OB = 60
Angle ∠ AOB = 26°33'54″ = 0.4636 rad