Line slope calculator 5x+y=50


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 10] and B[9; 5]

Calculation:

Slope: m = -5

Slope-intercept form of line: y = -5x+50

Canonical form of the line equation: 5x+y-50 = 0

Parametric form of the line equation:
x = t+8
y = -5t+10      ; t ∈ R

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

X intercept: x0 = 10

Y intercept: y0 = q = 50

Distance line from the origin: d0 = 9.8058

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

Vector: AB = (1; -5)

Normal vector: n = (5; 1)

Midpoint of the segment AB: M = [8.5; 7.5]

Perpendicular Bisector equation: x-5y+29 = 0

Vector OA = (8; 10) ;   |OA| = 12.8062
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 122
Angle ∠ AOB = 22°17'8″ = 0.389 rad