\

\

\

$\"\"$ $\"\"$

\

The line equation in slope-intercept form is $\"\"$ , where m is

\

the slope and b is the y-intercept.

\

First find the slope of the line.

\

$\"\"$

\

$\"\"$ (Substitute 2 for x₁, $\"\"$ 2 for y₁, 3 for x₂ and 2 for y₂)

\

$\"\"$ (Product of two same signs is positive)

\

$\"\"$ (Add: $\"\"$ )

\

$\"\"$ (Subtract: $\"\"$ )

\

$\"\"$ (Divide: $\"\"$ ) $\"\"$

\

Next find the y-intercept value by replacing m with 4, y with $\"\"$ 2 and x with 2

\

in the equation $\"\"$ .

\

$\"\"$

\

$\"\"$ (Multiply: $\"\"$ )

\

$\"\"$ (Subtract 8 from each side)

\

$\"\"$ (Apply commutative property of addition: $\"\"$ )

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

\

Replace m with 4 and b with –10 in the slope-intercept form line equation

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ (Simplify) $\"\"$

\

The slope-intercept form line equation is $\"\"$ .