Line slope calculator 2x+5y=42


Enter coordinates of two different points:

Straight line given by points A[1; 8] and B[6; 6]

Calculation:

Slope-intercept form of line: y = -0.4x+8.4

Canonical form of the line equation: 2x+5y-42 = 0

Parametric form of the line equation:
x = 5t+1
y = -2t+8      ; t ∈ R

Slope: m = -0.4

Slope angle of line: φ = -21°48'5″ = -0.3805 rad

X intercept: x0 = 21

Y intercept: y0 = q = 8.4

Distance line from the origin: d0 = 7.7992

The length of the segment AB: |AB| = 5.3852

Vector: AB = (5; -2)

Normal vector: n = (2; 5)

Midpoint of the segment AB: M = [3.5; 7]

Perpendicular Bisector equation: 5x-2y-3.5 = 0


Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (6; 6) ;   |OB| = 8.4853
Scalar product OA .OB = 54
Angle ∠ AOB = 37°52'30″ = 0.661 rad