Line slope calculator 7x+4y=67


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 8] and B[9; 1]

Calculation:

Slope: m = -1.75

Slope-intercept form of line: y = -1.75x+16.75

Canonical form of the line equation: 7x+4y-67 = 0

Parametric form of the line equation:
x = 4t+5
y = -7t+8      ; t ∈ R

Slope angle of line: φ = -60°15'18″ = -1.0517 rad

X intercept: x0 = 9.5714

Y intercept: y0 = q = 16.75

Distance line from the origin: d0 = 8.3103

The length of the segment AB: |AB| = 8.0623

Vector: AB = (4; -7)

Normal vector: n = (7; 4)

Midpoint of the segment AB: M = [7; 4.5]

Perpendicular Bisector equation: 4x-7y+3.5 = 0

Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (9; 1) ;   |OB| = 9.0554
Scalar product OA .OB = 53
Angle ∠ AOB = 51°39'16″ = 0.9015 rad