Line slope calculator 4x-9y=-54
Straight line given by points A[0; 6] and B[9; 10]
Calculation:
Slope: m = 0.4444Slope-intercept form of line: y = 0.4444x+6
Canonical form of the line equation: 4x-9y+54 = 0
Parametric form of the line equation:
x = 9t
y = 4t+6 ; t ∈ R
Slope angle of line: φ = 23°57'45″ = 0.4182 rad
X intercept: x0 = -13.5
Y intercept: y0 = q = 6
Distance line from the origin: d0 = 5.4829
The length of the segment AB: |AB| = 9.8489
Vector: AB = (9; 4)
Normal vector: n = (4; -9)
Midpoint of the segment AB: M = [4.5; 8]
Perpendicular Bisector equation: 9x+4y-72.5 = 0
Vector OA = (0; 6) ; |OA| = 6
Vector OB = (9; 10) ; |OB| = 13.4536
Scalar product OA .OB = 60
Angle ∠ AOB = 41°59'14″ = 0.7328 rad