Exercise 12 Page 207

In this system of equations, neither of the equations has an isolated variable. Therefore, we can determine the solutions by graphing the given equations. To do this, we will need the equations to be in slope-intercept form to help us identify the slope $m$ and $y -$ intercept $b .$

Write in Slope-Intercept Form

Let's rewrite each of the equations in the system in slope-intercept form, highlighting the $m$ and $b$ values.

Given Equation	Slope-Intercept Form	Slope $m$	$y -$ intercept $b$
$0.5 x + y = 2$	$y = - 0.5 x + 2$	$- 0.5$	$(0, 2)$
$0.5 x = 1 + y$	$y = 0.5 x + (- 1)$	$0.5$	$(0, - 1)$