Answer:
y = -3x - 1
Explanation:
The equation for a line in slope-intercept form is:
y = mx + b,
where m is the slope of the line, and b is the y-coordinate of its y-intercept.
We can first solve for the slope of the line using the formula:
m = rise / run,
inputting the given coordinates to solve for rise (Δy) and run (Δx).
m = (-4 - 2) / (1 - (-1))
m = -6 / 2
m = -3
So, the slope (m) of the line is -3.
Next, we can find the y-coordinate of the line's y-intercept by looking at where the line crosses the y-axis. We can see that this happens when y is -1. Therefore, b = -1.
Finally, we can construct an equation using the information we just solved for.
y = -3x - 1