Find the slope of the line satisfying the given conditions. See E...

Question

Find the slope of the line satisfying the given conditions. See Example 5. through (-3, 4) and (2, -8)

Accepted Answer

Hey, everyone. Here we are asked to determine the slope for the line which connects the points negative four and five and the 50.9 and negative 13. Now, here we have four answer choice options. First, we have answer choice A where the slope is 13 divided by 18. Answer choice B which has a slope of negative 13 divided by 18. Answer choice C has a slope of positive 18 divided by 30. And lastly answer choice D has a slope of negative 18 divided by 13. So now our first step here in the, in determining the slope between these two given points is to recall the slope formula which tells us that slope M is equal to the quantity of Y sub two minus Y sub one all divided by the quantity of X sub two minus X sub one. So now our next step here, we just have to identify our corresponding points for each X and Y term in our formula. So we can begin by identifying our first given point negative four and five as the X sub one and Y sub one point. And that means the second given 1.0.9 and negative is going to be the X sub two and Y sub two point. So with our X and Y values identified, we can go ahead and just substitute them into our slope formula. And so for us, we see that the slope m, the slope M is equal to the quantity of Y sub two which is negative 13 minus Y sub one which is positive five. And then in the denominator, we have X sub two which is nine minus X sub one which is negative four. So now our next step is to just simplify the terms in the numerator and the denominator. So again, in the numerator, we have negative 13 minus five which simplifies to negative 18. And then this negative 18 is divided by the quantity of nine minus negative four which simplifies to positive 13. So with this, we have found that our simplified slope here is negative 18 divided by 13. So here we are left with answer choice. D thanks for watching. I hope you found this video helpful and I'll see you again next time.

Find the slope of the line satisfying the given conditions. See Example 5. through (-3, 4) and (2, -8)

Key Concepts

Slope of a Line

Coordinate System

Linear Equation

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