Line slope calculator 7x+4y=47


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -1.75

Slope-intercept form of line: y = -1.75x+11.75

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

Parametric form of the line equation:
x = 4t+1
y = -7t+10      ; t ∈ R

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

X intercept: x0 = 6.7143

Y intercept: y0 = q = 11.75

Distance line from the origin: d0 = 5.8296

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

Vector: AB = (4; -7)

Normal vector: n = (7; 4)

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

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

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