Question

What is the y-intercept of the line that passes through (-6,2) and (4,-2) ?

2
5
22
5
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2
5
22
5

Answer 1

Explanation:

Slope (m) =

ΔY

ΔX

=

-2

5

= -0.4

θ =

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

or

y =

- 2 x

5

– 2

5

When x=0, y = -0.4

When y=0, x = -1

Answer 2

Explanation:

Slope (m) =

ΔY

ΔX

=

-2

5

= -0.4

θ =

arctan( ΔY ) + 360°

ΔX

= 338.19859051365°

ΔX = 4 – -6 = 10

ΔY = -2 – 2 = -4

Distance (d) = √ΔX2 + ΔY2 = √116 = 10.770329614269

Equation of the line:

y = -0.4x – 0.4

or

y =

- 2 x

5

– 2

5

When x=0, y = -0.4

When y=0, x = -1