Question

Choose the system of equations which matches the following graph:

a line includes points 0 comma 0 and negative 1 comma 2. A line includes points 2 comma 3 and 1 comma negative 2



5x - y = 7
2x - y = 0


5x - y = 7
2x + y = 0


5x + y = -7
2x + y = 0


5x + y = -7
2x - y = 0

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_algebra2_v10/02_00g_19.gif

Answer 2

Line 1 = (0,0) (-1,2)
Line 2 = (2,3) (1,-2)

line 1 gradient:

\[m = \frac{ y _{2} - y _{1} }{ x _{2} - x _{1} }\]
\[m = \frac{ 2 - 0 }{ -1-0 } = \frac{ 2 }{ -1 }= -2\]

\[\frac{ y - y _{1} }{ y _{2}-y _{1} }=\frac{ x - x _{1} }{ x _{2}- x _{1} }\]
\[\frac{ y -0 }{2- 0 } = \frac{ x - 0 }{ - 1 - 0 } \]

\[\frac{ y }{ 2 } = \frac{ x }{ -1 } \]

\[-y = 2x\]

Answer 3

Line 2 gradient:

\[m = \frac{ y _{2}-y _{1} }{ x _{2} - x _{1} }\]
\[m = \frac{ -2 - 3 }{ 1-2 } = \frac{ -5 }{ -1 } = 5\]
\[y - y _{1} = m(x - x _{1})\]
\[y - 3 = 5(x-2)\]
\[y = 5x - 7\]

Answer 4

5x - y = 7
2x - y = 0