Line slope calculator 4x+5y=60


Enter coordinates of two different points:

Straight line given by points A[5; 8] and B[10; 4]

Calculation:

Slope-intercept form of line: y = -0.8x+12

Canonical form of the line equation: 4x+5y-60 = 0

Parametric form of the line equation:
x = 5t+5
y = -4t+8      ; t ∈ R

Slope: m = -0.8

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

X intercept: x0 = 15

Y intercept: y0 = q = 12

Distance line from the origin: d0 = 9.3704

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; 6]

Perpendicular Bisector equation: 5x-4y-13.5 = 0


Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (10; 4) ;   |OB| = 10.7703
Scalar product OA .OB = 82
Angle ∠ AOB = 36°11'36″ = 0.6317 rad