If the slope is 3, that means that the change in y values divided by the change in x values of the two ordered pairs must equal 3.
If we set this up in an equation, it looks like this:
5-9/y-3 = 3
Now, we must solve for the unknown variable y in order to solve the problem. To do this, I am going to multiply both sides of the equation by the quantity (y-3). This is going to cancel out the denominator on the left side of the equation to make it easier for us to solve.
5 - 9 = 3 (y - 3)
Next, we are going to perform the subtraction on the left side of the equation and the multiplication on the right side of the equation in order to simplify this equation further.
-4 = 3y - 9
Next, we are going to add 9 to both sides in order to solve for the variable y.
5 = 3y
Finally, we are going to divide both sides of the equation by 3 to isolate the variable y on the right side of the equation.
5/3 = y
Therefore, your answer is y = 5/3. If we try to solve for the slope using our new and completed ordered pair, we get the correct answer, 3, so we know our answer is correct.
Hope this helps!
