How do you write an equation for the line through (6,8) and (2,-10)?
To write an equation for a line through two points we need to use a two step process.
Step 1) Find the slope.
Step 2) Using the slope, one of the points and the point-slope formula determine the equation.
The slope can be found by using the formula:
Substituting the points we are given in this problem the slope is:
Now we can use one of the points we were given, the slope we determined and the point-slope formula to find the equation for the line.
The point-slope formula states:
If we want to put this into slope-intercept form we can solve for