Line slope calculator 4x+5y=58


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 10] and B[7; 6]

Calculation:

Slope: m = -0.8

Slope-intercept form of line: y = -0.8x+11.6

Canonical form of the line equation: 4x+5y-58 = 0

Parametric form of the line equation:
x = 5t+2
y = -4t+10      ; t ∈ R

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

X intercept: x0 = 14.5

Y intercept: y0 = q = 11.6

Distance line from the origin: d0 = 9.0581

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

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

Midpoint of the segment AB: M = [4.5; 8]

Perpendicular Bisector equation: 5x-4y+9.5 = 0

Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (7; 6) ;   |OB| = 9.2195
Scalar product OA .OB = 74
Angle ∠ AOB = 38°5'20″ = 0.6648 rad