Answer:
y = -x - 3
Explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Given that the point (-8,5) lies on the line and the slope of the line is m=-1, we can use the point-slope form of a linear equation to write the equation of the line.
The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
So substituting the given point (-8,5) and slope m=-1 into the point-slope form, we get:
y - 5 = -1(x + 8)
Simplifying, we get:
y = -x - 3
This equation is the slope-intercept form of the line that passes through the point (-8,5) and has a slope of -1.