Line slope calculator 8x+3y=86


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 10] and B[10; 2]

Calculation:

Slope: m = -2.6667

Slope-intercept form of line: y = -2.6667x+28.6667

Canonical form of the line equation: 8x+3y-86 = 0

Parametric form of the line equation:
x = 3t+7
y = -8t+10      ; t ∈ R

Slope angle of line: φ = -69°26'38″ = -1.212 rad

X intercept: x0 = 10.75

Y intercept: y0 = q = 28.6667

Distance line from the origin: d0 = 10.0655

The length of the segment AB: |AB| = 8.544

Vector: AB = (3; -8)

Normal vector: n = (8; 3)

Midpoint of the segment AB: M = [8.5; 6]

Perpendicular Bisector equation: 3x-8y+22.5 = 0

Vector OA = (7; 10) ;   |OA| = 12.2066
Vector OB = (10; 2) ;   |OB| = 10.198
Scalar product OA .OB = 90
Angle ∠ AOB = 43°41'53″ = 0.7627 rad