Question

enter an expression in the box to write the equation of the line parrelleto y =-1/2×-3 that passes through the point (5,2) y=_________

Answer 1

Two lines are parallel if their slopes are equal.

In this case, the solpe of the line must be -1/2. Also the line passes through point (5,2) so:

`\begin{gathered} y=-(1)/(2)x+b \\ We\text{ use the point (5, 2) to find b:} \\ 2=-(1)/(2)\cdot5+b \\ b=2+(5)/(2) \\ b=(9)/(2) \\ So, \\ y=-(1)/(2)x+(9)/(2) \end{gathered}`

The line is y = -1/2 + 9/2