##### Which equation represents a line perpendicular to the line shown on the graph?

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

Jun 25th, 2015

------------------------------------------------------------------

(2, 0) and (0, 8) are 2 points on the line.

So, slope of given line

$\\ =\frac{y_2-y_1}{x_2-x_1}\\ \\ =\frac{8-0}{0-2}\\ \\ =\frac{8}{-2}\\ \\ =-4\\$

Let the slope of the perpendicular line be m.

If two lines are perpendicular then product of their slopes is equal to -1.

$\\ -4\times m=-1\\ \\ m=\frac{-1}{-4}\\ \\ m=\frac{1}{4}\\$

From the given options the line whose slope is 1/4 is

$y=\frac{1}{4}x+5$

ANSWER:  $y=\frac{1}{4}x+5$

------------------------------------------------------------------

Jun 25th, 2015

...
Jun 25th, 2015
...
Jun 25th, 2015
Jun 28th, 2017
check_circle