Find the slope of : (1,6) and (5,8)

Slope (m) =  

ΔY

ΔX

=  

1

2

=0.5

θ =  

arctan(ΔY)

ΔX

=26.565051177078°

ΔX = 5 – 1 = 4

ΔY = 8 – 6 = 2

Distance (d) = √ΔX2 + ΔY2 = √20 = 4.4721359549996

Equation of the line:

y = 0.5x + 5.5

or

y =  

1x

2

+  11

2

When x=0, y = 5.5

When y=0, x = -11

y2 - y1 = Δy, or vertical change, while x2 - x1 = Δx, ... Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline: m = 8 - 4. 6 - 3. = 4. 3. d = √(6 - 3)2 + (8 - 4)2 = 5 ...

Step-by-step explanation:

Slope: -1/2

Y-intercept: -3