SOLUTION: I cannot figure out how to find the slope without seeing a graph. find the slope of the line passing through each pair of points then write the equation of the line (2,5)and(4

Algebra ->  Linear-equations -> SOLUTION: I cannot figure out how to find the slope without seeing a graph. find the slope of the line passing through each pair of points then write the equation of the line (2,5)and(4      Log On


   

Question 131771This question is from textbook Algebra by prentice hall
: I cannot figure out how to find the slope without seeing a graph. find the slope of the line passing through each pair of points then write the equation of the line (2,5)and(4,8)

find the rate of change for each situation. walking 3 blocks in 10 min. and 12 blocks in55min. thank you so much for helping me. This question is from textbook Algebra by prentice hall

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The slope is given by %28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29. Just decide which point will be 1 and which will be 2 (it doesn't matter), and plug in the numbers. If (2,5) is point 1, then x%5B1%5D=2, and y%5B1%5D=5.

Given two points you need to use the two point form of the equation of a line:

y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29

Again, just plug in the numbers and do the arithmetic

y-5=%28%285-8%29%2F%282-4%29%29%28x-2%29
y-5=%28%28-3%29%2F%28-2%29%29%28x-2%29
y-5=%283%2F2%29%28x-2%29
2y-10=3%28x-2%29
2y-10=3x-6
-3x%2B2y=-6%2B10
3x-2y=-4 is the equation in standard (ax%2Bby=c form.

For your other problem, it is done exactly the same way. The rate of change is the same as the slope. Your points are (3,10) and (12,55). Use %28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29 to calculate the slope.