Question

graph this line:
$y + 4 = -(x - 1)$
click to select points on the graph.

Explanation:

Step1: Simplify to slope-intercept form

First, expand and isolate $y$:
$y + 4 = -x + 1$
$y = -x + 1 - 4$
$y = -x - 3$

Step2: Identify key points

1. y-intercept (when $x=0$):

$y = -(0) - 3 = -3$, so point $(0, -3)$

1. x-intercept (when $y=0$):

$0 = -x - 3$
$x = -3$, so point $(-3, 0)$

1. Additional point (when $x=1$):

$y = -(1) - 3 = -4$, so point $(1, -4)$

Answer:

Plot the points $(0, -3)$, $(-3, 0)$, and $(1, -4)$, then draw a straight line connecting them to graph the equation $y = -x - 3$.