# Line slope calculator 5x+3y=45

**Straight line given by points A[3; 10] and B[6; 5]**

## Calculation:

**Slope-intercept form of line:**y = -1.6667x+15

**Canonical form of the line equation:**5x+3y-45 = 0

**Parametric form of the line equation:**

x = 3t+3

y = -5t+10 ; t ∈ R

**Slope:**m = -1.6667

**Slope angle of line: φ =**-59°2'10″ = -1.0304 rad

**X intercept:**x

_{0}= 9

**Y intercept:**y

_{0}= q = 15

**Distance line from the origin:**d

_{0}= 7.7174

**The length of the segment AB: |AB| =**5.831

**Vector: AB =**(3; -5)

**Normal vector: n =**(5; 3)

**Midpoint of the segment AB: M =**[4.5; 7.5]

**Perpendicular Bisector equation:**3x-5y+24 = 0

**Vector OA = (3; 10) ; |OA| = 10.4403**

**Vector OB = (6; 5) ; |OB| = 7.8102**

**Scalar product OA .OB = 68**

**Angle ∠ AOB = 33°29'43″ = 0.5846 rad**