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.

(
x - y + 2 = 0
@dry-2=0
Ox-y-2=0​

Answer 1

x + y - 2 = 0

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept.

Put the given y-intercept b = 2 and the coordinates of the point (1, 1) to the equation:

`1=1m+2` subtract 2 from both sides

`-1=m\to m=-1`

The equation of a line:

`y=-1x+2\to y=-x+2`

The general form of an equation of a line:

`Ax+By+C=0`

Convert:

`y=-x+2` add x to both sides

`x+y=2` subtract 2 from both sides

`x+y-2=0`