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

Mathematics

1 answer:

guajiro [1.7K]2 years ago

4 0

Answer:

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:

$1=1m+2$ <em>subtract 2 from both sides</em>

$-1=m\to m=-1$

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:

$y=-x+2$ <em>add x to both sides</em>

$x+y=2$ <em>subtract 2 from both sides</em>

$x+y-2=0$

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