rewrite the equation in standard form. start with the given equation:
y - 5 = (3/2)(x + 6)
To convert it to standard form distribute the (3/2) to the terms inside the parentheses:
y - 5 = (3/2)x + 9
Next, move the (3/2)x term to the other side by subtracting (3/2)x from both sides:
y - (3/2)x - 5 = 9
Now, simplify the equation:
(3/2)x - y = -14
And The equation in standard form is (3/2)x - y = -14.