Example 1 :. A handrail runs alongside a stairway. Since all of the points 5, 7 , 10, 11 , 15, 15 , 20, 19 , and 25, 23 lie on the same line, the relationship is linear. Step 2 :. Choose any two points in the form x, y , from the graph to find the slope :.
How Do You Use Point-Slope Form to Write an Equation from a Table? | Virtual Nerd
The equation of a line expresses a relationship between x and y values on the coordinate plane. Since, as we just wrote, every linear equation is a relationship of x and y values, we can create a table of values for any line. In other words, a table of values is simply some of the points that are on the line. So, to create a table of values for a line, just pick a set of x values, substitute them into the equation and evaluate to get the y values.
How to Write Linear Equations
Example 1 :. The table shows the temperature of a fish tank during an experiment. Wr ite the appropriate linear equation to find the temperature at any time. Notice that the change in the temperature is the same for each increase of 1 hour in time. So, the relationship is linear.
Now we can extend what we know about graphing linear functions to analyze graphs a little more closely. Begin by taking a look at the graph below. We can see right away that the graph crosses the y -axis at the point 0, 4 , so this is the y -intercept.