$\"\"$

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 1 for x₁, 1 for y₁, 7 for x₂ and 4 for y₂)

$\"\"$ (Simplify)

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

next find the y-intercept value by replacing m with $\"\"$ , y with 1 and x with 1 in

the equation $\"\"$ .

$\"\"$

$\"\"$ (Simplify)

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

$\"\"$ (Simplify)

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

$\"\"$

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

$\"\"$

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