Question

Line a is parallel to line b. Line a contains the points (3, 4) and (6, 7). Line b contains the points (2,8) and (6. y). What is the value of y?A7B11С12D24

Answer 1

parallel lines have the same slopes. Therefore,

`m_1=m_2_{}_{}_{}`
`m_1=(y_2-y_1)/(x_2-x_1)=(7-4)/(6-3)=(3)/(3)=1`
`m_2=1`

Y can be found below

`\begin{gathered} 1=(y-8)/(6-2) \\ 1=(y-8)/(4) \\ 4=y-8 \\ y=4+8 \\ y=12 \end{gathered}`