Line slope calculator 3x-2y=-7


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[3; 8]

Calculation:

Slope: m = 1.5

Slope-intercept form of line: y = 1.5x+3.5

Canonical form of the line equation: 3x-2y+7 = 0

Parametric form of the line equation:
x = 2t+1
y = 3t+5      ; t ∈ R

Slope angle of line: φ = 56°18'36″ = 0.9828 rad

X intercept: x0 = -2.3333

Y intercept: y0 = q = 3.5

Distance line from the origin: d0 = 1.9415

The length of the segment AB: |AB| = 3.6056

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [2; 6.5]

Perpendicular Bisector equation: 2x+3y-23.5 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (3; 8) ;   |OB| = 8.544
Scalar product OA .OB = 43
Angle ∠ AOB = 9°14'46″ = 0.1614 rad