# Distance, Midpoint, and Slope

This week’s topic has been Distance, Midpoint, and Slope. Let’s go through that blue SAT book everyone has, http://amzn.to/1wADKLS, or http://amzn.to/1wtPZuD, and this ACT book for problems about distance, midpoint, and slope that can be solved using my TI-84 Plus programs DISTANCE. Sorry, I won’t post the actual problems here.  But go dig out your books and […]

# Distance

This week’s topic is:  Distance, Midpoint, and Slope. Q:  For what value(s) of x is the point (x,4) exactly 5 units away from the point (6,8)? . . . . Answer: 3 or 9 Solution by hand: Use the distance formula: Solution using my TI-84 Plus program DISTANCE: Draw a picture: Guess that x=2, maybe.  […]

# Algebra 1 – distance

Q: To the nearest tenth, what is the distance between the points (-6,2) and (6,5)?   Answer:  12.4  (Use the distance formula, and round to the nearest tenth.) My TI-84 Plus program DISTANCE will find this value. Highly Effective Headline! Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore […]

# Slope

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? . . . . Answer: -7 Algebraic solution by hand: Use the slope formula:   Solution using my TI-84 Plus program DISTANCE: Run DISTANCE.  How? Use your multiple […]

# ACT, Geometry – diagonal of a rectangular prism

Q: What is the (straight-line) distance between points A and B on the figure below? Answer:  7 Explanation:  We are finding the length of the green segment below:   This requires the three-dimensional version of the distance formula:    There is another way to do this, using a progression of two right triangles, with the […]

# Algebra 1 – Find the equation of a line

Q: If the slope of the line through (-3,6) and (1,y) is 1/2, what is the value of y? Answer:  8 Explanation: Slope is computed by the formula (y2 – y1) / (x2 – x1) … the change in y divided by the change in x. So, (y – 6) / (1 – -3) = 1 […]