Line slope calculator 9x-4y=23
Straight line given by points A[3; 1] and B[7; 10]
Calculation:
Slope: m = 2.25Slope-intercept form of line: y = 2.25x-5.75
Canonical form of the line equation: 9x-4y-23 = 0
Parametric form of the line equation:
x = 4t+3
y = 9t+1 ; t ∈ R
Slope angle of line: φ = 66°2'15″ = 1.1526 rad
X intercept: x0 = 2.5556
Y intercept: y0 = q = -5.75
Distance line from the origin: d0 = 2.3353
The length of the segment AB: |AB| = 9.8489
Vector: AB = (4; 9)
Normal vector: n = (9; -4)
Midpoint of the segment AB: M = [5; 5.5]
Perpendicular Bisector equation: 4x+9y-69.5 = 0
Vector OA = (3; 1) ; |OA| = 3.1623
Vector OB = (7; 10) ; |OB| = 12.2066
Scalar product OA .OB = 31
Angle ∠ AOB = 36°34'23″ = 0.6383 rad