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

Question

asked Nov 28, 2020 175k views

1 Answer

Kowey · Answer 1 · 2020-12-05T04:37:17+0000

Answer:

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