A line in xy - plane has a slope of 1 and passes through the point (0, 2). Which is an equation of the line?

The correct answer is: y = x + 2

HINT: Use point-slope form, substitute the values of and and simplify.
Complete solution step by step:
The point-slope form is where, is the slope, and are x and y coordinates of the point through which the line passes.
By substituting the coordinates (0, 2) and slope in the point - slope form,
We get,
⇒
On adding 2 on both sides, we get,
That is,
Which is the required equation of the line.
Option y = x + 2 is the answer.
Note: We use a substitution method to solve this. That is, plug in the values of slope and (x, y) point values into the equation, then solve for c. Then substitute the values of slope and c alone in the equation, to get the required equation of line.