Line slope calculator 3x+2y=17


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 4] and B[5; 1]

Calculation:

Slope: m = -1.5

Slope-intercept form of line: y = -1.5x+8.5

Canonical form of the line equation: 3x+2y-17 = 0

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

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

X intercept: x0 = 5.6667

Y intercept: y0 = q = 8.5

Distance line from the origin: d0 = 4.715

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

Vector: AB = (2; -3)

Normal vector: n = (3; 2)

Midpoint of the segment AB: M = [4; 2.5]

Perpendicular Bisector equation: 2x-3y-0.5 = 0

Vector OA = (3; 4) ;   |OA| = 5
Vector OB = (5; 1) ;   |OB| = 5.099
Scalar product OA .OB = 19
Angle ∠ AOB = 41°49'13″ = 0.7299 rad