Unit 2 Test Graph each line. I) -5=-y fr of -I -I -I -I 2) -5x-y=-4 -I Solve each system by graphing. Write the solution as an ordered pair (x,y)

To graph each line and solve the system by graphing, let's go through each equation step-by-step.<br /><br />### 1) Graph the line: \(-5 = -y\)<br /><br />First, solve for \(y\):<br /><br />\[<br />-5 = -y \implies y = 5<br />\]<br /><br />This is a horizontal line where \(y\) is always 5. To graph this line, draw a horizontal line that passes through the point \((0, 5)\) on the y-axis.<br /><br />### 2) Graph the line: \(-5x - y = -4\)<br /><br />First, solve for \(y\) in terms of \(x\):<br /><br />\[<br />-5x - y = -4 \implies -y = 5x - 4 \implies y = -5x + 4<br />\]<br /><br />This is a linear equation in slope-intercept form \(y = mx + b\), where the slope \(m = -5\) and the y-intercept \(b = 4\). To graph this line:<br /><br />- Start at the y-intercept \((0, 4)\).<br />- Use the slope to find another point. Since the slope is \(-5\), from \((0, 4)\), move down 5 units and right 1 unit to reach the point \((1, -1)\).<br /><br />Draw a line through these points.<br /><br />### Solve the system by graphing<br /><br />Now, we have two lines:<br />1. \(y = 5\)<br />2. \(y = -5x + 4\)<br /><br />To find the solution to the system, look for the intersection of these two lines on the graph.<br /><br />- The line \(y = 5\) is horizontal.<br />- The line \(y = -5x + 4\) intersects the horizontal line \(y = 5\).<br /><br />Set the equations equal to find the intersection point:<br /><br />\[<br />5 = -5x + 4<br />\]<br /><br />Solve for \(x\):<br /><br />\[<br />5 = -5x + 4 \implies 5x = 4 - 5 \implies 5x = -1 \implies x = -\frac{1}{5}<br />\]<br /><br />The intersection point, and thus the solution to the system, is:<br /><br />\[<br />(x, y) = \left(-\frac{1}{5}, 5\right)<br />\]<br /><br />So, the solution to the system is \(\left(-\frac{1}{5}, 5\right)\).