Line slope calculator 7x+4y=74


Enter coordinates of two different points:

Straight line given by points A[6; 8] and B[10; 1]

Calculation:

Slope-intercept form of line: y = -1.75x+18.5

Canonical form of the line equation: 7x+4y-74 = 0

Parametric form of the line equation:
x = 4t+6
y = -7t+8      ; t ∈ R

Slope: m = -1.75

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

X intercept: x0 = 10.5714

Y intercept: y0 = q = 18.5

Distance line from the origin: d0 = 9.1786

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

Vector: AB = (4; -7)

Normal vector: n = (7; 4)

Midpoint of the segment AB: M = [8; 4.5]

Perpendicular Bisector equation: 4x-7y-0.5 = 0


Vector OA = (6; 8) ;   |OA| = 10
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 68
Angle ∠ AOB = 47°25'10″ = 0.8276 rad