Line slope calculator 8x-7y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 0] and B[10; 8]

Calculation:

Slope: m = 1.1429

Slope-intercept form of line: y = 1.1429x-3.4286

Canonical form of the line equation: 8x-7y-24 = 0

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

Slope angle of line: φ = 48°48'51″ = 0.852 rad

X intercept: x0 = 3

Y intercept: y0 = q = -3.4286

Distance line from the origin: d0 = 2.2577

The length of the segment AB: |AB| = 10.6301

Vector: AB = (7; 8)

Normal vector: n = (8; -7)

Midpoint of the segment AB: M = [6.5; 4]

Perpendicular Bisector equation: 7x+8y-77.5 = 0

Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 30
Angle ∠ AOB = 38°39'35″ = 0.6747 rad