Aline gas a slope of 1 passes through the point (-1,-3). what is it's equation in slope-intercept form ?

Y = mx + b

It passes through the point (-1, -3), where x is -1 and y -3, hence:

-3 = m(-1) + b

We are also already told the slope is 1, so m = 1.

-3 = 1(-1) + b

-3 = -1 + b

-3 + 1 = b

-2 = b

y = x - 2