Answer:
(Change in y)/(change in x) is defined as the average rate of change.
For a linear equation:
y = a*x + b
A is the average rate of change, and is called the "slope" of the linear equation, and this is a constant.
Then the sentence will be:
"The average change between two ordered pairs (x,y) is the ratio (change in x)/(change in y)
In a linear function, this is called the slope, and it is constant"
Answer:
y = 3x - 2
Step-by-step explanation:
The 'rule' of a function table is the expression which you use to put in a value of 'x' to get the value of 'y'. In this case you can look at the table and look for a pattern of 'x' and 'y' values:
+1 +1 +1
x = 1 2 3 4
y = 1 4 7 10
+3 +3 +3
So, the 'x' is increasing by 1 each time and the y is increasing by 3. However, what is 'y' when 'x' is 0? Subtract 1 - 0 to get x = 0 and subtract 1 - 3 to get the value of 'y' or y = 1-3 = -2.
If we multiply x by 3 and subtract -2: 3x - 2, then we should get our value of 'y' each time:
y = 1(3) - 2 = 1
y = 2(3) -2 = 4
y = 3(3) - 2 = 7
y = 4(3) - 2 = 10
Answer:
(0, 22)
Step-by-step explanation:
So you have the equation:
So first let's define what the "y-intercept" is. The y-intercept, of a line is like the name implies, when the line intercepts or "passes" the y-axis. And if you were to take any point on the y-axis, the y-value may vary, but there is one value that doesn't change, and that's the x-value. the x-value is always going to be zero, no matter where you are on the y-axis. So to find the y-intercept simple plug 0 in as x. This gives you the equation:
So the y-intercept is at (0, 22)
Answer - 150
One square has an area of 25 (5x5) so 6 squares (25x6) have an area of 150.
