Line slope calculator 9x+5y=77


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[8; 1]

Calculation:

Slope-intercept form of line: y = -1.8x+15.4

Canonical form of the line equation: 9x+5y-77 = 0

Parametric form of the line equation:
x = 5t+3
y = -9t+10      ; t ∈ R

Slope: m = -1.8

Slope angle of line: φ = -60°56'43″ = -1.0637 rad

X intercept: x0 = 8.5556

Y intercept: y0 = q = 15.4

Distance line from the origin: d0 = 7.4789

The length of the segment AB: |AB| = 10.2956

Vector: AB = (5; -9)

Normal vector: n = (9; 5)

Midpoint of the segment AB: M = [5.5; 5.5]

Perpendicular Bisector equation: 5x-9y+22 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (8; 1) ;   |OB| = 8.0623
Scalar product OA .OB = 34
Angle ∠ AOB = 66°10'33″ = 1.155 rad