$\"\"$

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

$\"\"$ (Simplify)

$\"\"$

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

the equation $\"\"$ .

$\"\"$

$\"\"$ (Simplify)

$\"\"$ (Subtract 4 from each side)

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

Replace m with 1 and b with in the slope-intercept form line equation $\"\"$ .

$\"\"$

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