Line slope calculator 4x+5y=45
Straight line given by points A[5; 5] and B[10; 1]
Calculation:
Slope: m = -0.8Slope-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