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

One way we can organize a linear equation is in standard form:

Another way we can organize a linear equation is in point-slope form:

We're given:

We only need the point-slope form equation to find the stand form of the equation for this line. All we have to do is rearrange the numbers to get them in the right places.

⇒ First, multiply both sides by 2 to get rid of the fraction:

⇒ Now, open up the parentheses:

⇒ Move -5x to the other side:

⇒ Move 14 to the other side:

⇒ Combine like terms:

answer: a

step-by-step explanation: