Line slope calculator 7x-5y=30


Enter coordinates of two different points:

Straight line given by points A[5; 1] and B[10; 8]

Calculation:

Slope-intercept form of line: y = 1.4x-6

Canonical form of the line equation: 7x-5y-30 = 0

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

Slope: m = 1.4

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

X intercept: x0 = 4.2857

Y intercept: y0 = q = -6

Distance line from the origin: d0 = 3.4874

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

Vector: AB = (5; 7)

Normal vector: n = (7; -5)

Midpoint of the segment AB: M = [7.5; 4.5]

Perpendicular Bisector equation: 5x+7y-69 = 0


Vector OA = (5; 1) ;   |OA| = 5.099
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 58
Angle ∠ AOB = 27°21' = 0.4773 rad