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QUESTION IMAGE

y + 1 = -(x + 9) click to select points on the graph.

Question

y + 1 = -(x + 9)
click to select points on the graph.

Explanation:

Step1: Identify vertex point

The equation is in point-slope form $y - y_1 = m(x - x_1)$, where $(x_1, y_1)$ is $(-9, -1)$.

Step2: Find y-intercept

Set $x=0$, solve for $y$:
$y + 1 = -(0 + 9)$
$y = -9 - 1 = -10$
So y-intercept is $(0, -10)$.

Step3: Find x-intercept

Set $y=0$, solve for $x$:
$0 + 1 = -(x + 9)$
$1 = -x - 9$
$x = -9 - 1 = -10$
So x-intercept is $(-10, 0)$.

Answer:

Key points to plot:

  1. Vertex: $(-9, -1)$
  2. Y-intercept: $(0, -10)$
  3. X-intercept: $(-10, 0)$

Draw a straight line through these points to graph $y + 1 = -(x + 9)$.