To find the gradient of a line you use this equation: Rise / Run
I am assuming this is a graph where both the x and y-axis increase in value by one.
So first of all, you should draw out this graph.
Second, draw a point at each of the given coordinates.
Now, join these points by drawing a right angle triangle. Put simply, draw a line from the point (4, -7) down until it is on the same level as the point (2, -3), then draw a line across.
Finally, measure the length of both these sides and use them in the equation above.
Let's assume the rise (vertical line) and the run (horizontal line) are 5 and 8 respectively. We can do 5/8 to get a gradient which is 0.625.
Hi there!!
First, we are going to find the improper fraction of each mixed number.
10 1/3 >>>>> 10*3+1=31 31/3
2 2/3 >>>>> 2*3+2=8. 8/3
5 1/3 >>>>>> 5*3+1 = 16. 16/3
TO find the reciprocal, we switch the numerator with the denominator.
31/3 changes to 3/31, 8/3 changes to 3/8, and finally 16/3 changes to 3/16.
Your answer is:
3/31
3/8
3/16
Hope this helps! Let me know if you have any questions:)
All estimating problems make the assumption you are familar with your math facts, addition and multiplication. Since students normally memorize multiplication facts for single-digit numbers, any problem that can be simplified to single-digit numbers is easily worked.
2. You are asked to estimate 47.99 times 0.6. The problem statement suggests you do this by multiplying 50 times 0.6. That product is the same as 5 × 6, which is a math fact you have memorized. You know this because
.. 50 × 0.6 = (5 × 10) × (6 × 1/10)
.. = (5 × 6) × (10 ×1/10) . . . . . . . . . . . by the associative property of multiplication
.. = 30 × 1
.. = 30
3. You have not provided any clue as to the procedure reviewed in the lesson. Using a calculator,
.. 47.99 × 0.6 = 28.79 . . . . . . rounded to cents
4. You have to decide if knowing the price is near $30 is sufficient information, or whether you need to know it is precisely $28.79. In my opinion, knowing it is near $30 is good enough, unless I'm having to count pennies for any of several possible reasons.
Answer: (10,9) is the correct answer.
(-1,-4) this is saying that when x=-1, y=-4. Plugging it into the line equation y=4x gives
Which is correct.
