Question

Please help !

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

Answer 1

C. 2x +5y = -15

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

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