Answer:

To solve the problem, we need to find the equation of the line with a slope of 1 that passes through the point (-2, 0).

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Given the slope m = 1, we have y = x + b.

To find the y-intercept b, we can substitute the coordinates (-2, 0) into the equation:

0 = (-2) + b

Simplifying the equation, we have:

0 = -2 + b

To isolate b, we can add 2 to both sides:

2 = b

Now we have the y-intercept b = 2.

Substituting this value back into the equation, we have:

y = x + 2

Therefore, the equation of the line with a slope of 1 that passes through the point (-2, 0) is y = x + 2.