Line slope calculator 7x-4y=24


Enter coordinates of two different points:

Straight line given by points A[4; 1] and B[8; 8]

Calculation:

Slope-intercept form of line: y = 1.75x-6

Canonical form of the line equation: 7x-4y-24 = 0

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

Slope: m = 1.75

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

X intercept: x0 = 3.4286

Y intercept: y0 = q = -6

Distance line from the origin: d0 = 2.9768

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

Vector: AB = (4; 7)

Normal vector: n = (7; -4)

Midpoint of the segment AB: M = [6; 4.5]

Perpendicular Bisector equation: 4x+7y-55.5 = 0


Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 40
Angle ∠ AOB = 30°57'50″ = 0.5404 rad