Line slope calculator 4x+5y=45


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.8

Slope-intercept form of line: y = -0.8x+9

Canonical form of the line equation: 4x+5y-45 = 0

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

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

X intercept: x0 = 11.25

Y intercept: y0 = q = 9

Distance line from the origin: d0 = 7.0278

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-25.5 = 0


Vector OA = (5; 5) ;   |OA| = 7.0711
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 55
Angle ∠ AOB = 39°17'22″ = 0.6857 rad