Line slope calculator 3x-4y=-14


Enter coordinates of two different points:

Straight line given by points A[2; 5] and B[6; 8]

Calculation:

Slope-intercept form of line: y = 0.75x+3.5

Canonical form of the line equation: 3x-4y+14 = 0

Parametric form of the line equation:
x = 4t+2
y = 3t+5      ; t ∈ R

Slope: m = 0.75

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

X intercept: x0 = -4.6667

Y intercept: y0 = q = 3.5

Distance line from the origin: d0 = 2.8

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

Vector: AB = (4; 3)

Normal vector: n = (3; -4)

Midpoint of the segment AB: M = [4; 6.5]

Perpendicular Bisector equation: 4x+3y-35.5 = 0


Vector OA = (2; 5) ;   |OA| = 5.3852
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 52
Angle ∠ AOB = 15°4'7″ = 0.263 rad