Transcript text: Use the graph that connects the points
Solution
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 \(y = -x\).