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. A. x - y - 2 = 0 B. x - y + 2 = 0 C. x + y - 2 = 0

Answer 1

The answer is option C

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line first find the slope

The line has a y intercept of 2 which is

(0 , 2)

Slope of the line using points

( 1 ,1) and (0,2) is

`m = (2 - 1)/(0 - 1) = (1)/( - 1) = - 1`

So the equation of the line using point (1,1) is

y - 1 = - 1(x - 1)

y - 1 = - x + 1

x + y - 1 - 1 = 0

We have the final answer as

x + y - 2 = 0

Hope this helps you