Line slope calculator 7x+2y=62


Enter coordinates of two different points:

Straight line given by points A[6; 10] and B[8; 3]

Calculation:

Slope-intercept form of line: y = -3.5x+31

Canonical form of the line equation: 7x+2y-62 = 0

Parametric form of the line equation:
x = 2t+6
y = -7t+10      ; t ∈ R

Slope: m = -3.5

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

X intercept: x0 = 8.8571

Y intercept: y0 = q = 31

Distance line from the origin: d0 = 8.5164

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

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

Midpoint of the segment AB: M = [7; 6.5]

Perpendicular Bisector equation: 2x-7y+31.5 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (8; 3) ;   |OB| = 8.544
Scalar product OA .OB = 78
Angle ∠ AOB = 38°28'49″ = 0.6716 rad