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:

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

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