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Find the equation of the line passing through the points (3,1) and (7,-7).
=== WORK:
First, we need to find the slope (m) of the equation. The formula to find the slope is .
Plug in the numbers into the formula.
Which simplifies to...
Which is...
So now we have the slope. Our equation looks like this so far:
Now we must find b, which is the y-intercept.
We can choose one of our points and plug in their x and y values into our current equation. Then, we can solve for b.
Let's use (3,1).
Solve for b.
Multiply -2 and 3...
Add 6 to both sides... or .
Now just plug in 7 for b in our equation.
ANSWER: