Line slope calculator 4x+5y=46


Enter coordinates of two different points:

Straight line given by points A[4; 6] and B[9; 2]

Calculation:

Slope-intercept form of line: y = -0.8x+9.2

Canonical form of the line equation: 4x+5y-46 = 0

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

Slope: m = -0.8

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

X intercept: x0 = 11.5

Y intercept: y0 = q = 9.2

Distance line from the origin: d0 = 7.184

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

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

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

Perpendicular Bisector equation: 5x-4y-16.5 = 0


Vector OA = (4; 6) ;   |OA| = 7.2111
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 48
Angle ∠ AOB = 43°46'52″ = 0.7641 rad