Line slope calculator 4x+7y=74


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.5714

Slope-intercept form of line: y = -0.5714x+10.5714

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

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

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

X intercept: x0 = 18.5

Y intercept: y0 = q = 10.5714

Distance line from the origin: d0 = 9.1786

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; 8]

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

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