4. two points on a line are (-10, 1) and (5, -5). if
the y-coordinate of another point on the line is
-3, what is the x-coordinate?

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

we have

substitute in the formula

Simplify

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

so

Find the slope between the points

Remember that

substitute in the formula

the denominators must be the same

therefore

The x-coordinate of another point is zero

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: