Line slope calculator 7x+5y=78


Enter coordinates of two different points:

Straight line given by points A[4; 10] and B[9; 3]

Calculation:

Slope-intercept form of line: y = -1.4x+15.6

Canonical form of the line equation: 7x+5y-78 = 0

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

Slope: m = -1.4

Slope angle of line: φ = -54°27'44″ = -0.9505 rad

X intercept: x0 = 11.1429

Y intercept: y0 = q = 15.6

Distance line from the origin: d0 = 9.0673

The length of the segment AB: |AB| = 8.6023

Vector: AB = (5; -7)

Normal vector: n = (7; 5)

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

Perpendicular Bisector equation: 5x-7y+13 = 0


Vector OA = (4; 10) ;   |OA| = 10.7703
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 66
Angle ∠ AOB = 49°45'49″ = 0.8685 rad