Line slope calculator 7x-2y=12


Enter coordinates of two different points:

Straight line given by points A[2; 1] and B[4; 8]

Calculation:

Slope-intercept form of line: y = 3.5x-6

Canonical form of the line equation: 7x-2y-12 = 0

Parametric form of the line equation:
x = 2t+2
y = 7t+1      ; t ∈ R

Slope: m = 3.5

Slope angle of line: φ = 74°3'17″ = 1.2925 rad

X intercept: x0 = 1.7143

Y intercept: y0 = q = -6

Distance line from the origin: d0 = 1.6483

The length of the segment AB: |AB| = 7.2801

Vector: AB = (2; 7)

Normal vector: n = (7; -2)

Midpoint of the segment AB: M = [3; 4.5]

Perpendicular Bisector equation: 2x+7y-37.5 = 0


Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 16
Angle ∠ AOB = 36°52'12″ = 0.6435 rad