Line slope calculator 5x+y=38


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 8] and B[7; 3]

Calculation:

Slope: m = -5

Slope-intercept form of line: y = -5x+38

Canonical form of the line equation: 5x+y-38 = 0

Parametric form of the line equation:
x = t+6
y = -5t+8      ; t ∈ R

Slope angle of line: φ = -78°41'24″ = -1.3734 rad

X intercept: x0 = 7.6

Y intercept: y0 = q = 38

Distance line from the origin: d0 = 7.4524

The length of the segment AB: |AB| = 5.099

Vector: AB = (1; -5)

Normal vector: n = (5; 1)

Midpoint of the segment AB: M = [6.5; 5.5]

Perpendicular Bisector equation: x-5y+21 = 0

Vector OA = (6; 8) ;   |OA| = 10
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 66
Angle ∠ AOB = 29°55'53″ = 0.5224 rad