Line slope calculator 7x-2y=54


Enter coordinates of two different points:

Straight line given by points A[8; 1] and B[10; 8]

Calculation:

Slope-intercept form of line: y = 3.5x-27

Canonical form of the line equation: 7x-2y-54 = 0

Parametric form of the line equation:
x = 2t+8
y = 7t+1      ; t ∈ R

Slope: m = 3.5

Slope angle of line: φ = 74°3'17″ = 1.2925 rad

X intercept: x0 = 7.7143

Y intercept: y0 = q = -27

Distance line from the origin: d0 = 7.4175

The length of the segment AB: |AB| = 7.2801

Vector: AB = (2; 7)

Normal vector: n = (7; -2)

Midpoint of the segment AB: M = [9; 4.5]

Perpendicular Bisector equation: 2x+7y-49.5 = 0


Vector OA = (8; 1) ;   |OA| = 8.0623
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 88
Angle ∠ AOB = 31°32'5″ = 0.5504 rad