Questions: Use the graph that connects the points

Use the graph that connects the points
Transcript text: Use the graph that connects the points
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Solution

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se the graph that connects the points Find two points on the line Two points on the line are \((0, 0)\) and \((-5, 5)\). Calculate the slope The slope \(m\) is given by \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Using the points \((0, 0)\) and \((-5, 5)\), we have: \(m = \frac{5 - 0}{-5 - 0} = \frac{5}{-5} = -1\). Find the y-intercept The y-intercept is the value of \(y\) when \(x = 0\). The line passes through the origin \((0, 0)\), so the y-intercept is 0. Write the equation in slope-intercept form The slope-intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. In this case, \(m = -1\) and \(b = 0\), so the equation is \(y = -1x + 0\), which simplifies to \(y = -x\).

\(\boxed{y = -x}\)

\(\boxed{y = -x}\)

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