Final answer:
To rewrite the equation y - 5/2 = -3/7(x + 1) in standard form, you need to eliminate the fractions and rearrange the terms. Multiply both sides by 14, distribute the -6, and reposition the variables and constants to obtain 6x + 14y = -29.
Step-by-step explanation:
To rewrite the equation y - 5/2 = -3/7(x + 1) in standard form, we need to eliminate the fractions and rearrange the terms. First, let's multiply both sides of the equation by 14 to get rid of the denominators:
14(y - 5/2) = 14(-3/7)(x + 1)
Simplifying, we have 14y - 35 = -6(x + 1).
Next, distribute the -6 to the terms inside the parentheses: 14y - 35 = -6x - 6.
Finally, rearrange the equation in standard form by moving all the variables to one side and the constants to the other side: 6x + 14y = -35 + 6 or 6x + 14y = -29.