Line slope calculator 5x+7y=56


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 8] and B[7; 3]

Calculation:

Slope: m = -0.7143

Slope-intercept form of line: y = -0.7143x+8

Canonical form of the line equation: 5x+7y-56 = 0

Parametric form of the line equation:
x = 7t
y = -5t+8      ; t ∈ R

Slope angle of line: φ = -35°32'16″ = -0.6202 rad

X intercept: x0 = 11.2

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 6.5099

The length of the segment AB: |AB| = 8.6023

Vector: AB = (7; -5)

Normal vector: n = (5; 7)

Midpoint of the segment AB: M = [3.5; 5.5]

Perpendicular Bisector equation: 7x-5y+3 = 0

Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 24
Angle ∠ AOB = 66°48'5″ = 1.1659 rad