Line slope calculator 4x-7y=-24


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 0.5714x+3.4286

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

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

Slope: m = 0.5714

Slope angle of line: φ = 29°44'42″ = 0.5191 rad

X intercept: x0 = -6

Y intercept: y0 = q = 3.4286

Distance line from the origin: d0 = 2.9768

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

Vector: AB = (7; 4)

Normal vector: n = (4; -7)

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

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


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