Line slope calculator 4x+5y=34


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 6] and B[6; 2]

Calculation:

Slope: m = -0.8

Slope-intercept form of line: y = -0.8x+6.8

Canonical form of the line equation: 4x+5y-34 = 0

Parametric form of the line equation:
x = 5t+1
y = -4t+6      ; t ∈ R

Slope angle of line: φ = -38°39'35″ = -0.6747 rad

X intercept: x0 = 8.5

Y intercept: y0 = q = 6.8

Distance line from the origin: d0 = 5.3099

The length of the segment AB: |AB| = 6.4031

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

Midpoint of the segment AB: M = [3.5; 4]

Perpendicular Bisector equation: 5x-4y-1.5 = 0

Vector OA = (1; 6) ;   |OA| = 6.0828
Vector OB = (6; 2) ;   |OB| = 6.3246
Scalar product OA .OB = 18
Angle ∠ AOB = 62°6'10″ = 1.0839 rad