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Write the equation of the line that passes through the points (3, 5) and (-5, -3).

User Mckuok
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1 Answer

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Hello there! We can start by finding the slope using the following formula:

y2 - y1 over x2 - x1

-3 - (-5) = 2
5 - 3 = 2

Our slope is 2/2, which is a whole and simplifies to 1. For the purpose of slope intercept form, however, we keep it as 2/2.

Now, we can choose an ordered pair to plug our slope into by using slope intercept formula:

y = mx + b

For the sake of the problem, though, we will avoid negatives at all costs. It is best to do this to avoid confusion.

5 = 2/2 (3) + b

5 = 3 + b

5 - 3 = 2

2 = b

b = 2

Finally, we can rewrite the equation with our new values to verify accuracy:

5 = 3 + 2

Because 3 + 2 = 5, we know our equation is true. Your equation is:

y = 2/2x + 2

Hope this helps!
User Scharfmn
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