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.

Answer 1

Answer:

x + y - 2 = 0

Step-by-step 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

$x+y-2=0$