What is an equation for the function that gives the values in the table?
xl 2 l 3 l 4 l
yl10l13l16l
In other words, x-2, y-10, x-3 y-13, x-4 y-16
I didn't know that I published this more than once!!
Check your previous post for solution.
To find an equation for the function that gives the values in the table, we can use the method of slope-intercept form for a linear equation, which is y = mx + b.
Step 1: Find the slope (m):
The slope of a line can be found using the formula: m = (change in y) / (change in x).
In this case, the change in y is 13 - 10 = 3, and the change in x is 3 - 2 = 1.
Therefore, the slope (m) is 3/1 = 3.
Step 2: Find the y-intercept (b):
The y-intercept is the value of y when x is zero. Looking at the table, we can see that when x is 2, y is 10. Therefore, the y-intercept (b) is 10.
Step 3: Write the equation:
Using the slope-intercept form, we have the equation: y = mx + b.
Substituting the values we found, the equation becomes: y = 3x + 10.
So, the equation for the function that gives the values in the table is y = 3x + 10.