Line slope calculator 7x-4y=10


Enter coordinates of two different points:

Straight line given by points A[2; 1] and B[6; 8]

Calculation:

Slope-intercept form of line: y = 1.75x-2.5

Canonical form of the line equation: 7x-4y-10 = 0

Parametric form of the line equation:
x = 4t+2
y = 7t+1      ; t ∈ R

Slope: m = 1.75

Slope angle of line: φ = 60°15'18″ = 1.0517 rad

X intercept: x0 = 1.4286

Y intercept: y0 = q = -2.5

Distance line from the origin: d0 = 1.2403

The length of the segment AB: |AB| = 8.0623

Vector: AB = (4; 7)

Normal vector: n = (7; -4)

Midpoint of the segment AB: M = [4; 4.5]

Perpendicular Bisector equation: 4x+7y-47.5 = 0


Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 20
Angle ∠ AOB = 26°33'54″ = 0.4636 rad