Question

What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.

possible answers: x - y + 2 = 0
x + y - 2 = 0
x - y - 2 = 0

Answer 1

the answer seems to be x+y-2=0

Answer 2

To solve this problem we need to know the form of the general equation of the line. That is, y= mx+b where m is the slope and b is the intercept. We are already given the y-intercept (2) our next step is to fin the slope. Substitute the point give (1,1) in the equation y= mx+2 and then solve for m. The slope is then -6. The final equation is y = -x+2 or x + y - 2 = 0