Line slope calculator 9x+4y=67


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[7; 1]

Calculation:

Slope-intercept form of line: y = -2.25x+16.75

Canonical form of the line equation: 9x+4y-67 = 0

Parametric form of the line equation:
x = 4t+3
y = -9t+10      ; t ∈ R

Slope: m = -2.25

Slope angle of line: φ = -66°2'15″ = -1.1526 rad

X intercept: x0 = 7.4444

Y intercept: y0 = q = 16.75

Distance line from the origin: d0 = 6.8028

The length of the segment AB: |AB| = 9.8489

Vector: AB = (4; -9)

Normal vector: n = (9; 4)

Midpoint of the segment AB: M = [5; 5.5]

Perpendicular Bisector equation: 4x-9y+29.5 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 31
Angle ∠ AOB = 65°10'14″ = 1.1374 rad