Line slope calculator 7x+2y=41


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 10] and B[5; 3]

Calculation:

Slope: m = -3.5

Slope-intercept form of line: y = -3.5x+20.5

Canonical form of the line equation: 7x+2y-41 = 0

Parametric form of the line equation:
x = 2t+3
y = -7t+10      ; t ∈ R

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

X intercept: x0 = 5.8571

Y intercept: y0 = q = 20.5

Distance line from the origin: d0 = 5.6318

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

Vector: AB = (2; -7)

Normal vector: n = (7; 2)

Midpoint of the segment AB: M = [4; 6.5]

Perpendicular Bisector equation: 2x-7y+37.5 = 0

Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (5; 3) ;   |OB| = 5.831
Scalar product OA .OB = 45
Angle ∠ AOB = 42°20'13″ = 0.7389 rad