Line slope calculator 2x+5y=60


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -0.4x+12

Canonical form of the line equation: 2x+5y-60 = 0

Parametric form of the line equation:
x = 5t+5
y = -2t+10      ; t ∈ R

Slope: m = -0.4

Slope angle of line: φ = -21°48'5″ = -0.3805 rad

X intercept: x0 = 30

Y intercept: y0 = q = 12

Distance line from the origin: d0 = 11.1417

The length of the segment AB: |AB| = 5.3852

Vector: AB = (5; -2)

Normal vector: n = (2; 5)

Midpoint of the segment AB: M = [7.5; 9]

Perpendicular Bisector equation: 5x-2y-19.5 = 0


Vector OA = (5; 10) ;   |OA| = 11.1803
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 130
Angle ∠ AOB = 24°46'31″ = 0.4324 rad