Line slope calculator 10x+7y=100


Enter coordinates of two different points:

Straight line given by points A[3; 10] and B[10; 0]

Calculation:

Slope-intercept form of line: y = -1.4286x+14.2857

Canonical form of the line equation: 10x+7y-100 = 0

Parametric form of the line equation:
x = 7t+3
y = -10t+10      ; t ∈ R

Slope: m = -1.4286

Slope angle of line: φ = -55°29″ = -0.9601 rad

X intercept: x0 = 10

Y intercept: y0 = q = 14.2857

Distance line from the origin: d0 = 8.1923

The length of the segment AB: |AB| = 12.2066

Vector: AB = (7; -10)

Normal vector: n = (10; 7)

Midpoint of the segment AB: M = [6.5; 5]

Perpendicular Bisector equation: 7x-10y+4.5 = 0


Vector OA = (3; 10) ;   |OA| = 10.4403
Vector OB = (10; 0) ;   |OB| = 10
Scalar product OA .OB = 30
Angle ∠ AOB = 73°18'3″ = 1.2793 rad