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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

Question

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)

Solution

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4.6 (175 Votos)
Renato Mestre · Tutor por 5 anos

Resposta

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