Question

Find the slope of the line that passes through (81, -18) and (7, -56).

Answer 1

19/37

Explanation:

(-18-(-56))/(81-7)

38/74

19/37

Answer 2

Slope (m) =

ΔY

ΔX

=

38

79

=

0.48101265822785

θ =

arctan(

ΔY

) + 180°

ΔX

=

205.68814343565°

ΔX = 7 – 86 = -79

ΔY = -56 – -18 = -38

Distance (d) = √ΔX2 + ΔY2 = √7685 = 87.664131775772

Equation of the line:

y = 0.48101265822785x – 59.367088607595

or

y =

38

x

79

–

4690

79

When x=0, y = -59.367088607595

When y=0, x = 123.42105263158