Line slope calculator 4x+3y=46


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 10] and B[7; 6]

Calculation:

Slope: m = -1.3333

Slope-intercept form of line: y = -1.3333x+15.3333

Canonical form of the line equation: 4x+3y-46 = 0

Parametric form of the line equation:
x = 3t+4
y = -4t+10      ; t ∈ R

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

X intercept: x0 = 11.5

Y intercept: y0 = q = 15.3333

Distance line from the origin: d0 = 9.2

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

Vector: AB = (3; -4)

Normal vector: n = (4; 3)

Midpoint of the segment AB: M = [5.5; 8]

Perpendicular Bisector equation: 3x-4y+15.5 = 0

Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (7; 6) ;   |OB| = 9.2195
Scalar product OA .OB = 88
Angle ∠ AOB = 27°35'50″ = 0.4817 rad