\

$\"\"$

\

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 5 for x₁, 1 for y₁, 8 for x₂ and $\"\"$ 2 for y₂)

\

$\"\"$ (Simplify)

\

$\"\"$

\

$\"\"$

\

\

\

Next find the y-intercept value by replacing m with –1, y with 1 and x with 5 in

\

the equation $\"\"$ .

\

\

$\"\"$

\

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

\

$\"\"$ (Add 5 to each side)

\

$\"\"$ (Additive inverse proeprty: $\"\"$ )

\

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

\

$\"\"$

\

\

Replace m with –1 and b with –10 in the slope-intercept form line

\

equation $\"\"$ .

\

$\"\"$

\

\

\

$\"\"$ (Simplify)

\

$\"\"$

\

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

\