Line slope calculator 4x-7y=-42


Enter coordinates of two different points:

Straight line given by points A[0; 6] and B[7; 10]

Calculation:

Slope-intercept form of line: y = 0.5714x+6

Canonical form of the line equation: 4x-7y+42 = 0

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

Slope: m = 0.5714

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

X intercept: x0 = -10.5

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.2095

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

Vector: AB = (7; 4)

Normal vector: n = (4; -7)

Midpoint of the segment AB: M = [3.5; 8]

Perpendicular Bisector equation: 7x+4y-56.5 = 0


Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (7; 10) ;   |OB| = 12.2066
Scalar product OA .OB = 60
Angle ∠ AOB = 34°59'31″ = 0.6107 rad