Graph the line with slope 2 passing through the point (-4, -1).

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Understand the Problem

The question asks us to graph a line on a coordinate plane. We are given the slope of the line, which is 2, and a point that the line passes through, which is (-4, -1). We will need to use this information to accurately draw the line on the graph.

Answer

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Steps to Solve

  1. Plot the given point

Plot the point $(-4, -1)$ on the coordinate plane. This is our starting point

  1. Use the slope to find another point

The slope is 2, which can be written as $\frac{2}{1}$. This means for every 1 unit we move to the right (run), we move 2 units up (rise). From the point $(-4, -1)$, move 1 unit to the right and 2 units up. This gives us the point $(-3, 1)$.

  1. Draw the line

Draw a straight line through the two points $(-4, -1)$ and $(-3, 1)$. Extend the line to cover the coordinate plane.

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