Line slope calculator 3x-4y=12


Enter coordinates of two different points:

Straight line given by points A[4; 0] and B[8; 3]

Calculation:

Slope-intercept form of line: y = 0.75x-3

Canonical form of the line equation: 3x-4y-12 = 0

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

Slope: m = 0.75

Slope angle of line: φ = 36°52'12″ = 0.6435 rad

X intercept: x0 = 4

Y intercept: y0 = q = -3

Distance line from the origin: d0 = 2.4

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

Vector: AB = (4; 3)

Normal vector: n = (3; -4)

Midpoint of the segment AB: M = [6; 1.5]

Perpendicular Bisector equation: 4x+3y-28.5 = 0


Vector OA = (4; 0) ;   |OA| = 4
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 32
Angle ∠ AOB = 20°33'22″ = 0.3588 rad