Question

to graph the standard form of a line, raul looks at the equation ( 4x - 2y = 8 ). he performs the following steps. which step is the first one in which raul made a mistake?
step 1: determine the x intercept
( 4(0) - 2y = 8 )
( 0 - 2y = 8 )
( -2y = 8 )
( y = -4 ) (note: the original ocr might have a typo, but we transcribe as is: ( 4(0) 2y = 8 ), ( 0 2y = 8 ), ( 2y = 8 ), ( y = 4 ))
step 2: determine the y intercept
( 4x - 2y = 8 )
( 4x - 2(0) = 8 )
( 4x - 0 = 8 )
( 4x = 8 )
( x = 2 ) (note: original ocr has some formatting issues, transcribed as ( 4x 2y = 8 ), ( 4x 2(0) = 8 ), ( 4x 0 = 8 ), ( 4x = 8 ), ( x = 2 ))
step 3: text partially obscured
step 4: text partially obscured
options: step 3, step 2, step 4, step 1

Explanation:

Step1: Recall x-intercept definition

The x-intercept occurs where $y=0$, substitute $y=0$ into $4x-2y=8$.

Step2: Calculate correct x-intercept

$$4x - 2(0) = 8$$
$$4x = 8$$
$$x = 2$$
Raul incorrectly substituted $x=0$ for finding the x-intercept (he found the y-intercept instead here).

Step3: Check Step 2 logic

For the y-intercept, $x=0$ should be substituted. Raul incorrectly used $y=0$ here, but Step 1 is the first mistake.

Answer:

Step1