Question

find the x- and y-intercepts and graph each equation.

1. $-2x - 4 = y$

standard form $x$-intercept $y$-intercept
$ax = c$ $by = c$

intercept = ( ) intercept = ( )

Explanation:

Step1: Rewrite in Standard Form

The given equation is \( y = -2x - 4 \). To convert it to standard form \( Ax + By = C \), we add \( 2x \) to both sides:
\( 2x + y = -4 \)

Step2: Find x - intercept (set \( y = 0 \))

Substitute \( y = 0 \) into \( 2x + y = -4 \):
\( 2x + 0 = -4 \)
Simplify: \( 2x = -4 \)
Divide both sides by 2: \( x = \frac{-4}{2} = -2 \)
So, the x - intercept is \( (-2, 0) \).

Step3: Find y - intercept (set \( x = 0 \))

Substitute \( x = 0 \) into \( 2x + y = -4 \):
\( 2(0) + y = -4 \)
Simplify: \( y = -4 \)
So, the y - intercept is \( (0, -4) \).

Answer:

Standard Form: \( 2x + y = -4 \)
x - intercept: \( (-2, 0) \)
y - intercept: \( (0, -4) \)