Line slope calculator 8x-y=30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 2] and B[5; 10]

Calculation:

Slope: m = 8

Slope-intercept form of line: y = 8x-30

Canonical form of the line equation: 8x-y-30 = 0

Parametric form of the line equation:
x = t+4
y = 8t+2      ; t ∈ R

Slope angle of line: φ = 82°52'30″ = 1.4464 rad

X intercept: x0 = 3.75

Y intercept: y0 = q = -30

Distance line from the origin: d0 = 3.721

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

Vector: AB = (1; 8)

Normal vector: n = (8; -1)

Midpoint of the segment AB: M = [4.5; 6]

Perpendicular Bisector equation: x+8y-52.5 = 0

Vector OA = (4; 2) ;   |OA| = 4.4721
Vector OB = (5; 10) ;   |OB| = 11.1803
Scalar product OA .OB = 40
Angle ∠ AOB = 36°52'12″ = 0.6435 rad