How do you write an equation in standard form if the line passes through (3,7) and (0, -2)?
We have the value of two points,
Since we have the values of two points, we can plug them into the formula:
The negatives cancel out and we simplify it:
Now we can write the equation in point-slope form, shown here:
To convert to standard form, we first have to convert from point-slope to slope-intercept form, shown here:
So let's simplify:
It is now in slope-intercept form.
Now let's convert this to standard form, by making the
Switch sides to put in exact standard form:
As you can see, it is now in standard form.
For more information on writing an equation in standard form from two points, feel free to watch these videos:
Hope this helps!