Line slope calculator 4x-5y=15


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 1] and B[10; 5]

Calculation:

Slope: m = 0.8

Slope-intercept form of line: y = 0.8x-3

Canonical form of the line equation: 4x-5y-15 = 0

Parametric form of the line equation:
x = 5t+5
y = 4t+1      ; t ∈ R

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

X intercept: x0 = 3.75

Y intercept: y0 = q = -3

Distance line from the origin: d0 = 2.3426

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

Vector: AB = (5; 4)

Normal vector: n = (4; -5)

Midpoint of the segment AB: M = [7.5; 3]

Perpendicular Bisector equation: 5x+4y-49.5 = 0

Vector OA = (5; 1) ;   |OA| = 5.099
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 55
Angle ∠ AOB = 15°15'18″ = 0.2663 rad