Line slope calculator 2x+7y=41


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.2857

Slope-intercept form of line: y = -0.2857x+5.8571

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

Parametric form of the line equation:
x = 7t+3
y = -2t+5      ; t ∈ R

Slope angle of line: φ = -15°56'43″ = -0.2783 rad

X intercept: x0 = 20.5

Y intercept: y0 = q = 5.8571

Distance line from the origin: d0 = 5.6318

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

Vector: AB = (7; -2)

Normal vector: n = (2; 7)

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

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

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