Line slope calculator 4x-3y=21


Enter coordinates of two different points:

Straight line given by points A[6; 1] and B[9; 5]

Calculation:

Slope-intercept form of line: y = 1.3333x-7

Canonical form of the line equation: 4x-3y-21 = 0

Parametric form of the line equation:
x = 3t+6
y = 4t+1      ; t ∈ R

Slope: m = 1.3333

Slope angle of line: φ = 53°7'48″ = 0.9273 rad

X intercept: x0 = 5.25

Y intercept: y0 = q = -7

Distance line from the origin: d0 = 4.2

The length of the segment AB: |AB| = 5

Vector: AB = (3; 4)

Normal vector: n = (4; -3)

Midpoint of the segment AB: M = [7.5; 3]

Perpendicular Bisector equation: 3x+4y-34.5 = 0


Vector OA = (6; 1) ;   |OA| = 6.0828
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 59
Angle ∠ AOB = 19°35'32″ = 0.3419 rad