Question

Which equation describes the same line as y - 6 = -4(x + 1)?

Answer 1

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$\large \bold {ANSWER}$

$\large \boxed { \large \sf \green{ A. y= -4x+2 }}$

$\large \bold {SOLUTION}$

Convert y - 6 = -4(x + 1) to slope intercept form.

First thing that we need to do is to distribute -4 to all terms within the parenthesis properly.

• y - 6 = -4(x + 1) = -4x - 4
• y - 6 = -4x - 4

Hence, we will add 6 both sides:

• y - 6 + 6 = -4x - 4 + 6
• y = -4x + 2

Therefore, the equation describes the same line as y - 6 = -4(x + 1) is y = -4x + 2. (letter A.)

Answer 2

A. Y= -4x + 2

We first distribute the -4 in the parenthesis.
-4(x+1) —> -4x - 4

Then we add 6 to both sides to get rid of it on the left. The right side then becomes:
-4x + 2

This is because -4 + 6 is 2

So, we are left with:
y = -4x +2