Line slope calculator 7x+4y=75


Enter coordinates of two different points:

Straight line given by points A[5; 10] and B[9; 3]

Calculation:

Slope-intercept form of line: y = -1.75x+18.75

Canonical form of the line equation: 7x+4y-75 = 0

Parametric form of the line equation:
x = 4t+5
y = -7t+10      ; t ∈ R

Slope: m = -1.75

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

X intercept: x0 = 10.7143

Y intercept: y0 = q = 18.75

Distance line from the origin: d0 = 9.3026

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; 6.5]

Perpendicular Bisector equation: 4x-7y+17.5 = 0


Vector OA = (5; 10) ;   |OA| = 11.1803
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 75
Angle ∠ AOB = 45° = 0.7854 rad