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

Step-by-step explanation:

The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is .

Now, we have to arrange this in the standard form.

So,

⇒ 5(y + 7) = - 2(x - 10)

⇒ 5y + 35 = - 2x + 20

⇒ 2x + 5y = - 15 (Answer)

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