Question

Which system of equations is graphed on the coordinates below

Answer 1

C

Explanation:

Blue line:

`(-4, 0), (0, -2) \\m = (\triangle y)/(\triangle x) = (0 - (- 2))/(-4 - 0) = (2)/(-4) = -(1)/(2)\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -2\\y = mx + c\\y = -(1)/(2)x - 2\\2y = -x - 4\\x + 2y = -4`

Red line:

`(5, 0), (0, -5) \\m = (\triangle y)/(\triangle x) = (0 - (- 5))/(5 - 0) = (5)/(5) = 1\\\text{y-intercept (c) is when x = 0}\\x = 0 \rightarrow y = -5\\y = mx + c\\y = 1x - 5\\y - x = -5\\-y + x = 5\\x - y = 5`