the point slope form of the equation of the line that passes through -5 -1 and 10 -7 is y+7=-2/5(x-10). what is the standard form of the equation for this line?

a - 2x-5y=-15
b - 2x-5y=-17
c - 2x+5y=-15
d - 2x+5=-17

C. 2x +5y = -15

Step-by-step explanation:

You want the form ax +by = c. To get that form, you need to put the x-term on the left (making sure its sign is positive) and the constant on the right.

Multiply by 5:

5y +35 = -2(x -10)

Eliminate parentheses:

5y +35 = -2x +20

Add 2x-35

2x + 5y = -15 . . . . . . corresponds to selection C

Be careful of dashes when writing answers. They can be confused with minus signs.

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: