Line slope calculator 7x+3y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[4; 3]

Calculation:

Slope: m = -2.3333

Slope-intercept form of line: y = -2.3333x+12.3333

Canonical form of the line equation: 7x+3y-37 = 0

Parametric form of the line equation:
x = 3t+1
y = -7t+10      ; t ∈ R

Slope angle of line: φ = -66°48'5″ = -1.1659 rad

X intercept: x0 = 5.2857

Y intercept: y0 = q = 12.3333

Distance line from the origin: d0 = 4.8583

The length of the segment AB: |AB| = 7.6158

Vector: AB = (3; -7)

Normal vector: n = (7; 3)

Midpoint of the segment AB: M = [2.5; 6.5]

Perpendicular Bisector equation: 3x-7y+38 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (4; 3) ;   |OB| = 5
Scalar product OA .OB = 34
Angle ∠ AOB = 47°25'10″ = 0.8276 rad