Question

graph this line using intercepts:
8x + y = -8
click to select points on the graph.

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( 8x + y = -8 \):
\( 8x + 0 = -8 \)
\( 8x = -8 \)
\( x = \frac{-8}{8} = -1 \)
So x-intercept is \( (-1, 0) \).

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( 8x + y = -8 \):
\( 8(0) + y = -8 \)
\( y = -8 \)
So y-intercept is \( (0, -8) \).

(To graph, plot \( (-1, 0) \) and \( (0, -8) \), then draw a line through them.)

Answer:

x-intercept: \((-1, 0)\), y-intercept: \((0, -8)\) (plot these points to graph the line)