Line slope calculator 7x+5y=54


Enter coordinates of two different points:

Straight line given by points A[2; 8] and B[7; 1]

Calculation:

Slope-intercept form of line: y = -1.4x+10.8

Canonical form of the line equation: 7x+5y-54 = 0

Parametric form of the line equation:
x = 5t+2
y = -7t+8      ; t ∈ R

Slope: m = -1.4

Slope angle of line: φ = -54°27'44″ = -0.9505 rad

X intercept: x0 = 7.7143

Y intercept: y0 = q = 10.8

Distance line from the origin: d0 = 6.2774

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

Vector: AB = (5; -7)

Normal vector: n = (7; 5)

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

Perpendicular Bisector equation: 5x-7y+9 = 0


Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 22
Angle ∠ AOB = 67°50'1″ = 1.1839 rad