Line slope calculator 7x+4y=54


Enter coordinates of two different points:

Straight line given by points A[2; 10] and B[6; 3]

Calculation:

Slope-intercept form of line: y = -1.75x+13.5

Canonical form of the line equation: 7x+4y-54 = 0

Parametric form of the line equation:
x = 4t+2
y = -7t+10      ; t ∈ R

Slope: m = -1.75

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

X intercept: x0 = 7.7143

Y intercept: y0 = q = 13.5

Distance line from the origin: d0 = 6.6979

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

Vector: AB = (4; -7)

Normal vector: n = (7; 4)

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

Perpendicular Bisector equation: 4x-7y+29.5 = 0


Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 42
Angle ∠ AOB = 52°7'30″ = 0.9098 rad