Line slope calculator 3x-4y=15


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 0] and B[9; 3]

Calculation:

Slope: m = 0.75

Slope-intercept form of line: y = 0.75x-3.75

Canonical form of the line equation: 3x-4y-15 = 0

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

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

X intercept: x0 = 5

Y intercept: y0 = q = -3.75

Distance line from the origin: d0 = 3

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

Vector: AB = (4; 3)

Normal vector: n = (3; -4)

Midpoint of the segment AB: M = [7; 1.5]

Perpendicular Bisector equation: 4x+3y-32.5 = 0

Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 45
Angle ∠ AOB = 18°26'6″ = 0.3218 rad