**This week’s topic is: Distance, Midpoint, and Slope.**

### Q: The slope of the line passing through (-1,-3) and (7,y) is -1/2. What is the value of y?

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**Answer: -7**

**Algebraic solution by hand:**

Use the slope formula:

**Solution using my TI-84 Plus program DISTANCE:**

Use your multiple choice answer choices. One of them is -7. (If you don’t have choices, draw a picture. Plot the point (-1,-3) and do a slope of -1/2 from there – down 1, right 2, down 1, right 2, … until you get to a point where x is 7. Read the y-value of that point – it will be -7 and check it using this program.)

x1=-1

y1=-3

x2=7

y2=-7

Ignore the distance information – we don’t need it for this problem. Press ENTER for the midpoint information, which we don’t need either. Press ENTER once more to find that the slope is -1/2.