y = 5/3x - 9
For slope intercept form, you should have the slope and the y intercept.
Slope intercept form is...
y = mx + b
Moving on:
To find slope, you have to know the rise and run, or the change in y and the change in x.
To find slope...
(-9 - (-14)) / (0 - (-3))
Now, you should be able to calculate that to find that your slope is...
5/3 or 1 2/3
Now, you should be focused on finding your y intercept where the coordinates are (0, b) where b is your y intercept.
Lucky for you, you already have your y intercept being -9 given in the question.
Finally, to find the slope intercept form! You start off with your main equation for slope intercept form.
y = mx + b
Then you should plug in the numbers you have just found.
Meaning your slope and y intercept...
y = 5/3x - 9
And I believe there is your answer! Tell me if it's wrong please.