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Solve this system of equations. Write the solution as a coordinate pair. Use a graph if it helps with your thinking. y=-(1)/(2)x-8

Pergunta

Solve this system of equations. Write the solution as a coordinate pair.
Use a graph if it helps with your thinking.
y=-(1)/(2)x-8

Solve this system of equations. Write the solution as a coordinate pair. Use a graph if it helps with your thinking. y=-(1)/(2)x-8

Solução

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GeisaProfissional · Tutor por 6 anos

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The solution to the system of equations is the line represented by the equation \(y=-\frac {1}{2}x-8\).

Explicação

## Step 1<br />The given equation is \(y=-\frac {1}{2}x-8\). This is a linear equation in the form of \(y=mx+b\), where \(m\) is the slope and \(b\) is the y-intercept.<br /><br />## Step 2<br />In this equation, the slope \(m\) is \(-\frac {1}{2}\) and the y-intercept \(b\) is \(-8\).<br /><br />## Step 3<br />The slope of the line is negative, which means the line is decreasing. The y-intercept is the point where the line crosses the y-axis, which is at \(-8\).<br /><br />## Step 4<br />To graph this line, we start by plotting the y-intercept at \(-8\) on the y-axis.<br /><br />## Step 5<br />Next, we use the slope to determine the direction of the line. Since the slope is \(-\frac {1}{2}\), we move down 1 unit and right 2 units from the y-intercept to plot another point on the line.<br /><br />## Step 6<br />Finally, we draw a straight line through these two points to represent the equation \(y=-\frac {1}{2}x-8\).
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