Answer: y = x - 6
Explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Since the line has a slope of 1, we can substitute m = 1 into the equation.
y = 1x + b
To find the y-intercept b, we can use the fact that the line passes through the point (-1,-7). Substituting x = -1 and y = -7, we get:
-7 = 1(-1) + b
b = -6
Now we can substitute m = 1 and b = -6 into the slope-intercept form of the equation:
y = 1x - 6
Simplifying the equation gives us:
y = x - 6