$\"\"$

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 3 for x₁, $\"\"$ 2 for y₁, 6 for x₂ and 4 for y₂)

$\"\"$ (Simplify)

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

next find the y-intercept value by replacing m with 1, y with 2 and x with 4 in

the equation $\"\"$ .

$\"\"$

$\"\"$ (Simplify)

$\"\"$ (Subtract 6 from each side)

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

Replace m with 2 and b with $\"\"$ in the slope-intercept form line equation $\"\"$ .

$\"\"$

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