Answer:
here
Step-by-step explanation:
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
9
-4
= -2.25
θ =
arctan( ΔY ) + 180°
ΔX
= 113.96248897458°
ΔX = 4 – 8 = -4
ΔY = 15 – 6 = 9
Distance (d) = √ΔX2 + ΔY2 = √97 = 9.8488578017961
Equation of the line:
y = -2.25x + 24
or
y =
- 9 x
4
+ 24
When x=0, y = 24
When y=0, x = 10.666666666667
