Exercise 1 Page 411

By graphing the given equations, we can determine the number of solutions to the system of equations. This will be the point at which the lines intersect. 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 $b$
$y = 3 x - 7$	$y = 3 x + (- 7)$	$3$	$(0, - 7)$
$y = - x + 1$	$y = - 1 x + 1$	$- 1$	$(0, 1)$