Question

Which system of equations is graphed on the coordinates below

Answer 1

Answer:

C

Step-by-step explanation:

Blue line:

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

Red line:

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