Question

The point-stope 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?

2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x - 5y = -17

Answer 1

2x+5y = -15

Explanation:

y+7= -2/5(x-10)

Multiply each side by 5 to get rid of the fraction

5(y+7)= 5*-2/5(x-10)

5(y+7)= -2(x-10)

Distribute

5y+35 = -2x+20

Add 2x to each side

2x+5y +35 = 2x-2x+20

2x+5y +35 = 20

Subtract 35 from each side

2x+5y+35-35 = 20-35

2x+5y = -15