Line slope calculator 3x+5y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 5] and B[9; 2]

Calculation:

Slope: m = -0.6

Slope-intercept form of line: y = -0.6x+7.4

Canonical form of the line equation: 3x+5y-37 = 0

Parametric form of the line equation:
x = 5t+4
y = -3t+5      ; t ∈ R

Slope angle of line: φ = -30°57'50″ = -0.5404 rad

X intercept: x0 = 12.3333

Y intercept: y0 = q = 7.4

Distance line from the origin: d0 = 6.3454

The length of the segment AB: |AB| = 5.831

Vector: AB = (5; -3)

Normal vector: n = (3; 5)

Midpoint of the segment AB: M = [6.5; 3.5]

Perpendicular Bisector equation: 5x-3y-22 = 0

Vector OA = (4; 5) ;   |OA| = 6.4031
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 46
Angle ∠ AOB = 38°48'41″ = 0.6774 rad