Graph the line with slope -1 passing through the point (-3, 4).

Steps to Solve

1. Plot the given point

Plot the point $(-3, 4)$ on the coordinate plane. This means go 3 units to the left of the origin (0,0) along the x-axis and 4 units up along the y-axis.

2. Use the slope to find another point

The slope is given as $-1$, which can be written as $\frac{-1}{1}$. This means for every 1 unit you move to the right on the x-axis, you move 1 unit down on the y-axis. From the point $(-3, 4)$, move 1 unit to the right to $x = -2$ and 1 unit down to $y = 3$. This gives you the point $(-2, 3)$.

3. Draw the line

Draw a straight line through the points $(-3, 4)$ and $(-2, 3)$. This line represents the equation of the line with a slope of $-1$ passing through the point $(-3, 4)$.

{
"completion_status": "COMPLETED_CORRECT",
"steps": [
{
"step_id": "Plot the point (-3, 4)",
"explanation": "Plotting the given point on the coordinate plane.",
"point": {
"x": -3,
"y": 4
}
},
{
"step_id": "Use the slope to find another point",
"explanation": "Using the slope of -1 to find another point on the line. Since slope = rise/run = -1/1, we move 1 unit right and 1 unit down from the given point.",
"point": {
"x": -2,
"y": 3
}
}
]
}