Which equation represents the line that passes through points (1, -5) and (3,-17)?
o y=-6x+1
o y=6x+1
o y=-6x-1
o y=6x-1

y = - 6x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 17)

m = = = - 6, thus

y = - 6x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (1, - 5), then

- 5 = - 6 + c ⇒ c = - 5 + 6 = 1

y = - 6x + 1 ← equation of line

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if you need an explanation just ask

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: