\

\

\

\

\

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

\

First find the slope of the line.

\

$\"\"$

\

$\"\"$ (Substitute 7 for x₁, $\"\"$ 2 for y₁, $\"\"$ 4 for x₂ and $\"\"$ 2 for y₂)

\

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

\

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

\

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

\

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

\

Next find the y-intercept value by replacing m with 0, y with $\"\"$ 2 and x with 7

\

in the equation $\"\"$ .

\

$\"\"$

\

$\"\"$ (Apply zero property of multiplication: a $\"\"$ 0 = 0)

\

$\"\"$ (Apply additive identity property: a + 0 = a) $\"\"$

\

Replace m with 0 and b with $\"\"$ 2 in the slope-intercept form line equation

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ (Apply zero product property: a $\"\"$ 0 = 0) $\"\"$

\

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