How do i turn (-3,-14) and (0,-9) into slope intercept form?

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.

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step-by-step explanation: