Answer:
Explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.
We are given that the line passes through the point (-4, 2) and has a slope of -1. This means that we can substitute the values of the point and slope into the equation and solve for b.
y = mx + b
2 = (-1)(-4) + b
2 = 4 + b
b = -2
Now we know the slope and y-intercept of the line, so we can write the equation in slope-intercept form:
y = -x - 2
Therefore, the equation of the line that passes through the point (-4, 2) and has a slope of -1 is y = -x - 2.