Line slope calculator 7x+5y=57


Enter coordinates of two different points:

Straight line given by points A[1; 10] and B[6; 3]

Calculation:

Slope-intercept form of line: y = -1.4x+11.4

Canonical form of the line equation: 7x+5y-57 = 0

Parametric form of the line equation:
x = 5t+1
y = -7t+10      ; t ∈ R

Slope: m = -1.4

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

X intercept: x0 = 8.1429

Y intercept: y0 = q = 11.4

Distance line from the origin: d0 = 6.6261

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

Vector: AB = (5; -7)

Normal vector: n = (7; 5)

Midpoint of the segment AB: M = [3.5; 6.5]

Perpendicular Bisector equation: 5x-7y+28 = 0


Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 36
Angle ∠ AOB = 57°43'28″ = 1.0075 rad