What is the slope of a line perpendicular to line a?

-7/4

Step-by-step explanation:

Line A is the blue one.

I see two points they have identified for me:

(-7,0) and (0,4).

To find the slope of the line A given two points we could use the slope formula .

We could also line up the points vertically and subtract, then put 2nd difference over 1st difference.

Like this:

(-7,0)

-(0,4)

-------

-7   -4

So the slope is -4/-7=4/7

So the slope of a line that is perpendicular will have opposite reciprocal slope. That is the opposite reciprocal of 4/7 is -7/4.

Therefore the slope of a line that is perpendicular to A will have slope -7/4.

Step-by-step explanation:

We use the slope formula to fine the slope of line A.

Line A passes through (-7,0) and (0,4)

The slope of a line that is perpendicular to line A is the negative reciprocal of the slope of line A

the graph on the bottom right

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: