Question

Determine the slope of the line that passes through the points
(-2, 3) and (2, -4).

Answer 1

-7/4

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

-7

4

= -1.75

θ =

arctan( ΔY ) + 360°

ΔX

= 299.74488129694°

ΔX = 2 – -2 = 4

ΔY = -4 – 3 = -7

Distance (d) = √ΔX2 + ΔY2 = √65 = 8.0622577482985

Equation of the line:

y = -1.75x – 0.5

or

y =

- 7 x

4

– 1

2

When x=0, y = -0.5

When y=0, x = -0.28571428571429