Line slope calculator 5x-7y=-30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[8; 10]

Calculation:

Slope: m = 0.7143

Slope-intercept form of line: y = 0.7143x+4.2857

Canonical form of the line equation: 5x-7y+30 = 0

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

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

X intercept: x0 = -6

Y intercept: y0 = q = 4.2857

Distance line from the origin: d0 = 3.4874

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

Vector: AB = (7; 5)

Normal vector: n = (5; -7)

Midpoint of the segment AB: M = [4.5; 7.5]

Perpendicular Bisector equation: 7x+5y-69 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (8; 10) ;   |OB| = 12.8062
Scalar product OA .OB = 58
Angle ∠ AOB = 27°21' = 0.4773 rad