Line slope calculator 7x-4y=30


Enter coordinates of two different points:

Straight line given by points A[6; 3] and B[10; 10]

Calculation:

Slope-intercept form of line: y = 1.75x-7.5

Canonical form of the line equation: 7x-4y-30 = 0

Parametric form of the line equation:
x = 4t+6
y = 7t+3      ; t ∈ R

Slope: m = 1.75

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

X intercept: x0 = 4.2857

Y intercept: y0 = q = -7.5

Distance line from the origin: d0 = 3.721

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; 6.5]

Perpendicular Bisector equation: 4x+7y-77.5 = 0


Vector OA = (6; 3) ;   |OA| = 6.7082
Vector OB = (10; 10) ;   |OB| = 14.1421
Scalar product OA .OB = 90
Angle ∠ AOB = 18°26'6″ = 0.3218 rad