How do you write the equation in point slope form given (3,5) and (8,15)?
First, we have to solve for the slope using this equation:
This formula makes sense because slope is rise over run. Rise being the
Now you choose which point is point 2 (includes
Plug into the formula and solve for the slope:
Now we know that the slope,
Next, we have to use point-slope formula to get the equation:
You can plug in either point for the
Now plug in the slope
If two points on a line are known, we can use the following formula to write the equation :
Hence, equation of the line is
Standard form of Point-Slope equation is
If the slope
To find the slope if we are given two end-points of a line, we use the formula:
We are given the points:
Next, consider the equation of the point-slope form.
Consider the point
We also found that
This is the required equation in the Point-Slope Form.
We can also graph the line and find the intercepts.
Divide both sides by