Question 244895
It would help if you could share these coordinates with us.<br>
Is the graph a recognizable shape? A line? A parabola? Other?<br>
If it is a line, then we need to find the slope. The slope can be found using the slope formula:
{{{m = (y[2] - y[1])/(x[2] - x[1])}}}
Then use the slope and one of the points to find the equation of the line.<br>
In case your graph is a line, here's an example using the points (5, 8) and (6, -3):
{{{m = (-3 - 8)/(6 - 5)}}}
{{{m = (-11)/1 = -11}}}
Now we use the slope and either point to find the equation. There are a couple of ways to do this:<ul><li>Using the Slope-intercept form</li><li>Using the Point-Slope form.</li></ul>
Since the form of the equation of a line that is a function is the Slope-intercept form, I'll use that method so save a couple fo steps:
Slope-intercept form: y = mx + b
Use the slope and a point to find b:
8 = -11(5) + b
8 = -55 + b
63 = b
Write the equation using m and b:
y = -11x + 63
Rewrite it using functional notation:
f(x) = -11x + 63<br>
If the graph is not the graph of a line, then finding the equation is more difficult.