Line slope calculator 3x-2y=17


Enter coordinates of two different points:

Straight line given by points A[7; 2] and B[9; 5]

Calculation:

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+7
y = 3t+2      ; t ∈ R

Slope: m = 1.5

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 = [8; 3.5]

Perpendicular Bisector equation: 2x+3y-26.5 = 0


Vector OA = (7; 2) ;   |OA| = 7.2801
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 73
Angle ∠ AOB = 13°6'33″ = 0.2288 rad