I can interpret functions in the formula form but I simply can’t understand how it can become a graph. How would you transform one into the other?
In: 46
If the line on the graph is a straight line, then we read it from left to right, is the line is going up, left to right, it is a + equation, if it is going down, it is a – equation.
We look at where the line crosses the vertical axis, is is the y axis. What ever value that is, we write it down.
From that y-intercept, we count to the right how many spaces until the line crosses a whole number, then we count how many spaces vertically this covers as well. This gives us the slop of the line, rise over run. Often thos slop will be expressed as a fraction like 2/3. Meaning we have 2 spaces of rise for every 3 spaces to the right of run.
So, if we see that the line is going down from left to right, the y intercept is 7, and the rise over run is counted to be 1/2, we can then plug those values into an equation. Y=mX+b
Y is the answer we are often trying to find, m is the slope we have figured out, X is usually the given variable that may change, and b is where the line intercepts the y axis.
In my example the equation thay represents the line observed is y= -1/2(x) + 7
With this you could easily determine what value of why falls on the line for a given value of x
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