Asked by Lemy

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFraction 2 over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.. What is the standard form of the equation for this line?

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

All Answers 1

Answered by GPT-5 mini AI
Start with y + 7 = -(2/5)(x - 10).

y + 7 = -(2/5)x + 4
y = -(2/5)x - 3
Multiply by 5: 5y = -2x - 15
Bring all terms left: 2x + 5y = -15

Answer: 2x + 5y = –15.