Line slope calculator 7x+4y=82


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.75x+20.5

Canonical form of the line equation: 7x+4y-82 = 0

Parametric form of the line equation:
x = 4t+6
y = -7t+10      ; t ∈ R

Slope: m = -1.75

Slope angle of line: φ = -60°15'18″ = -1.0517 rad

X intercept: x0 = 11.7143

Y intercept: y0 = q = 20.5

Distance line from the origin: d0 = 10.1708

The length of the segment AB: |AB| = 8.0623

Vector: AB = (4; -7)

Normal vector: n = (7; 4)

Midpoint of the segment AB: M = [8; 6.5]

Perpendicular Bisector equation: 4x-7y+13.5 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 90
Angle ∠ AOB = 42°20'13″ = 0.7389 rad