Find the equation of the line that goes through the points (4, –1) and (2, –5).

Use slope formula, m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, to find the slope of a line that passes through the points.

y = 2 x - 9

Step-by-step explanation:

slope = difference of y / difference of x

m = (-5 - (-1)) / (2 - 4) = -4 / -2 = 2

pass point (4 , -1)

y = mx + b         b: y intercept

b = y - mx = -1 - 2 x 4 = -9

equation: y = 2 x - 9

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: