# Line slope calculator 8x-y=48

**Straight line given by points A[6; 0] and B[7; 8]**

## Calculation:

**Slope-intercept form of line:**y = 8x-48

**Canonical form of the line equation:**8x-y-48 = 0

**Parametric form of the line equation:**

x = t+6

y = 8t ; t ∈ R

**Slope:**m = 8

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

**X intercept:**x

_{0}= 6

**Y intercept:**y

_{0}= q = -48

**Distance line from the origin:**d

_{0}= 5.9537

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

**Vector: AB =**(1; 8)

**Normal vector: n =**(8; -1)

**Midpoint of the segment AB: M =**[6.5; 4]

**Perpendicular Bisector equation:**x+8y-38.5 = 0

**Vector OA = (6; 0) ; |OA| = 6**

**Vector OB = (7; 8) ; |OB| = 10.6301**

**Scalar product OA .OB = 42**

**Angle ∠ AOB = 48°48'51″ = 0.852 rad**