Line slope calculator 4x+7y=78


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 10] and B[9; 6]

Calculation:

Slope: m = -0.5714

Slope-intercept form of line: y = -0.5714x+11.1429

Canonical form of the line equation: 4x+7y-78 = 0

Parametric form of the line equation:
x = 7t+2
y = -4t+10      ; t ∈ R

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

X intercept: x0 = 19.5

Y intercept: y0 = q = 11.1429

Distance line from the origin: d0 = 9.6747

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

Vector: AB = (7; -4)

Normal vector: n = (4; 7)

Midpoint of the segment AB: M = [5.5; 8]

Perpendicular Bisector equation: 7x-4y-6.5 = 0

Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 78
Angle ∠ AOB = 45° = 0.7854 rad