Line slope calculator 5x-7y=8


Enter coordinates of two different points:

Straight line given by points A[3; 1] and B[10; 6]

Calculation:

Slope-intercept form of line: y = 0.7143x-1.1429

Canonical form of the line equation: 5x-7y-8 = 0

Parametric form of the line equation:
x = 7t+3
y = 5t+1      ; t ∈ R

Slope: m = 0.7143

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

X intercept: x0 = 1.6

Y intercept: y0 = q = -1.1429

Distance line from the origin: d0 = 0.93

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

Vector: AB = (7; 5)

Normal vector: n = (5; -7)

Midpoint of the segment AB: M = [6.5; 3.5]

Perpendicular Bisector equation: 7x+5y-63 = 0


Vector OA = (3; 1) ;   |OA| = 3.1623
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 36
Angle ∠ AOB = 12°31'44″ = 0.2187 rad