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_{}_{}_{}$$m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{7-4}{6-3}=\frac{3}{3}=1$$m_2=1$

Y can be found below

$\begin{gathered} 1=\frac{y-8}{6-2} \\ 1=\frac{y-8}{4} \\ 4=y-8 \\ y=4+8 \\ y=12 \end{gathered}$