Line slope calculator 4x+7y=47


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 5] and B[10; 1]

Calculation:

Slope: m = -0.5714

Slope-intercept form of line: y = -0.5714x+6.7143

Canonical form of the line equation: 4x+7y-47 = 0

Parametric form of the line equation:
x = 7t+3
y = -4t+5      ; t ∈ R

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

X intercept: x0 = 11.75

Y intercept: y0 = q = 6.7143

Distance line from the origin: d0 = 5.8296

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

Vector: AB = (7; -4)

Normal vector: n = (4; 7)

Midpoint of the segment AB: M = [6.5; 3]

Perpendicular Bisector equation: 7x-4y-33.5 = 0

Vector OA = (3; 5) ;   |OA| = 5.831
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 35
Angle ∠ AOB = 53°19'32″ = 0.9307 rad